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Finding the Fourth Proportional to 135,572.34, 203,414.25 and 59,631.78

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Solution

The fourth proportional to 135,572.34, 203,414.25 and 59,631.78 is: 89,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,572.34 : 203,414.25 = 59,631.78 : x
  2. Step 2: Convert to fraction form
    135,572.34/203,414.25 = 59,631.78/x
  3. Step 3: Cross multiply
    135,572.34x = 203,414.25 × 59,631.78
  4. Step 4: Simplify right side
    135,572.34x = 12,129,953,804.87
  5. Step 5: Solve for x
    x = 12,129,953,804.87/135,572.34
  6. Step 6: Final answer
    x = 89,472.19

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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.