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Finding the Fourth Proportional to 82,539.88, 123,790.02 and 38,124.04

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Solution

The fourth proportional to 82,539.88, 123,790.02 and 38,124.04 is: 57,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,539.88 : 123,790.02 = 38,124.04 : x
  2. Step 2: Convert to fraction form
    82,539.88/123,790.02 = 38,124.04/x
  3. Step 3: Cross multiply
    82,539.88x = 123,790.02 × 38,124.04
  4. Step 4: Simplify right side
    82,539.88x = 4,719,375,674.08
  5. Step 5: Solve for x
    x = 4,719,375,674.08/82,539.88
  6. Step 6: Final answer
    x = 57,176.91

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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.