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Finding the Fourth Proportional to 205,220.20, 307,340.70 and 99,700.20

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Solution

The fourth proportional to 205,220.20, 307,340.70 and 99,700.20 is: 149,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,220.20 : 307,340.70 = 99,700.20 : x
  2. Step 2: Convert to fraction form
    205,220.20/307,340.70 = 99,700.20/x
  3. Step 3: Cross multiply
    205,220.20x = 307,340.70 × 99,700.20
  4. Step 4: Simplify right side
    205,220.20x = 30,641,929,258.14
  5. Step 5: Solve for x
    x = 30,641,929,258.14/205,220.20
  6. Step 6: Final answer
    x = 149,312.44

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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.