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Finding the Fourth Proportional to 537,438.33, 806,158.10 and 138,082.41

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Solution

The fourth proportional to 537,438.33, 806,158.10 and 138,082.41 is: 207,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,438.33 : 806,158.10 = 138,082.41 : x
  2. Step 2: Convert to fraction form
    537,438.33/806,158.10 = 138,082.41/x
  3. Step 3: Cross multiply
    537,438.33x = 806,158.10 × 138,082.41
  4. Step 4: Simplify right side
    537,438.33x = 111,316,253,289.02
  5. Step 5: Solve for x
    x = 111,316,253,289.02/537,438.33
  6. Step 6: Final answer
    x = 207,123.77

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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.