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Finding the Fourth Proportional to 82,893.10, 124,339.65 and 71,617.90

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Solution

The fourth proportional to 82,893.10, 124,339.65 and 71,617.90 is: 107,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.10 : 124,339.65 = 71,617.90 : x
  2. Step 2: Convert to fraction form
    82,893.10/124,339.65 = 71,617.90/x
  3. Step 3: Cross multiply
    82,893.10x = 124,339.65 × 71,617.90
  4. Step 4: Simplify right side
    82,893.10x = 8,904,944,619.74
  5. Step 5: Solve for x
    x = 8,904,944,619.74/82,893.10
  6. Step 6: Final answer
    x = 107,426.85

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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.