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Finding the Fourth Proportional to 137,256, 189,283.68 and 89,545.92

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Solution

The fourth proportional to 137,256, 189,283.68 and 89,545.92 is: 123,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,256 : 189,283.68 = 89,545.92 : x
  2. Step 2: Convert to fraction form
    137,256/189,283.68 = 89,545.92/x
  3. Step 3: Cross multiply
    137,256x = 189,283.68 × 89,545.92
  4. Step 4: Simplify right side
    137,256x = 16,949,581,266.59
  5. Step 5: Solve for x
    x = 16,949,581,266.59/137,256
  6. Step 6: Final answer
    x = 123,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.