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Finding the Fourth Proportional to 137,123.92, 205,602.90 and 89,681.86

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Solution

The fourth proportional to 137,123.92, 205,602.90 and 89,681.86 is: 134,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,123.92 : 205,602.90 = 89,681.86 : x
  2. Step 2: Convert to fraction form
    137,123.92/205,602.90 = 89,681.86/x
  3. Step 3: Cross multiply
    137,123.92x = 205,602.90 × 89,681.86
  4. Step 4: Simplify right side
    137,123.92x = 18,438,850,493.39
  5. Step 5: Solve for x
    x = 18,438,850,493.39/137,123.92
  6. Step 6: Final answer
    x = 134,468.52

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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.