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Finding the Fourth Proportional to 537,438.83, 806,158.85 and 138,082.91

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Solution

The fourth proportional to 537,438.83, 806,158.85 and 138,082.91 is: 207,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,438.83 : 806,158.85 = 138,082.91 : x
  2. Step 2: Convert to fraction form
    537,438.83/806,158.85 = 138,082.91/x
  3. Step 3: Cross multiply
    537,438.83x = 806,158.85 × 138,082.91
  4. Step 4: Simplify right side
    537,438.83x = 111,316,755,209.05
  5. Step 5: Solve for x
    x = 111,316,755,209.05/537,438.83
  6. Step 6: Final answer
    x = 207,124.51

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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.