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Finding the Fourth Proportional to 123,689.96, 185,382.88 and 57,037.56

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Solution

The fourth proportional to 123,689.96, 185,382.88 and 57,037.56 is: 85,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,689.96 : 185,382.88 = 57,037.56 : x
  2. Step 2: Convert to fraction form
    123,689.96/185,382.88 = 57,037.56/x
  3. Step 3: Cross multiply
    123,689.96x = 185,382.88 × 57,037.56
  4. Step 4: Simplify right side
    123,689.96x = 10,573,787,140.97
  5. Step 5: Solve for x
    x = 10,573,787,140.97/123,689.96
  6. Step 6: Final answer
    x = 85,486.22

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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.