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Finding the Fourth Proportional to 537,438.45, 806,158.29 and 138,082.53

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Solution

The fourth proportional to 537,438.45, 806,158.29 and 138,082.53 is: 207,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,438.45 : 806,158.29 = 138,082.53 : x
  2. Step 2: Convert to fraction form
    537,438.45/806,158.29 = 138,082.53/x
  3. Step 3: Cross multiply
    537,438.45x = 806,158.29 × 138,082.53
  4. Step 4: Simplify right side
    537,438.45x = 111,316,379,804.58
  5. Step 5: Solve for x
    x = 111,316,379,804.58/537,438.45
  6. Step 6: Final answer
    x = 207,123.96

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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.