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Finding the Fourth Proportional to 207,229.28, 310,843.90 and 137,092.18

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Solution

The fourth proportional to 207,229.28, 310,843.90 and 137,092.18 is: 205,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,229.28 : 310,843.90 = 137,092.18 : x
  2. Step 2: Convert to fraction form
    207,229.28/310,843.90 = 137,092.18/x
  3. Step 3: Cross multiply
    207,229.28x = 310,843.90 × 137,092.18
  4. Step 4: Simplify right side
    207,229.28x = 42,614,267,890.70
  5. Step 5: Solve for x
    x = 42,614,267,890.70/207,229.28
  6. Step 6: Final answer
    x = 205,638.26

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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.