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Finding the Fourth Proportional to 82,492.30, 123,753.84 and 38,089.72

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Solution

The fourth proportional to 82,492.30, 123,753.84 and 38,089.72 is: 57,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,492.30 : 123,753.84 = 38,089.72 : x
  2. Step 2: Convert to fraction form
    82,492.30/123,753.84 = 38,089.72/x
  3. Step 3: Cross multiply
    82,492.30x = 123,753.84 × 38,089.72
  4. Step 4: Simplify right side
    82,492.30x = 4,713,749,114.52
  5. Step 5: Solve for x
    x = 4,713,749,114.52/82,492.30
  6. Step 6: Final answer
    x = 57,141.69

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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.