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Finding the Fourth Proportional to 100,411,201.80, 150,616,802.70 and 69,800,200.20

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Solution

The fourth proportional to 100,411,201.80, 150,616,802.70 and 69,800,200.20 is: 104,700,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411,201.80 : 150,616,802.70 = 69,800,200.20 : x
  2. Step 2: Convert to fraction form
    100,411,201.80/150,616,802.70 = 69,800,200.20/x
  3. Step 3: Cross multiply
    100,411,201.80x = 150,616,802.70 × 69,800,200.20
  4. Step 4: Simplify right side
    100,411,201.80x = 10,513,082,981,943,900
  5. Step 5: Solve for x
    x = 10,513,082,981,943,900/100,411,201.80
  6. Step 6: Final answer
    x = 104,700,300.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.