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Finding the Fourth Proportional to 100,044.57, 149,900.25 and 70,400.10

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Solution

The fourth proportional to 100,044.57, 149,900.25 and 70,400.10 is: 105,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,044.57 : 149,900.25 = 70,400.10 : x
  2. Step 2: Convert to fraction form
    100,044.57/149,900.25 = 70,400.10/x
  3. Step 3: Cross multiply
    100,044.57x = 149,900.25 × 70,400.10
  4. Step 4: Simplify right side
    100,044.57x = 10,552,992,590.03
  5. Step 5: Solve for x
    x = 10,552,992,590.03/100,044.57
  6. Step 6: Final answer
    x = 105,482.91

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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.