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Finding the Fourth Proportional to 82,712.61, 124,089.69 and 26,557.74

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Solution

The fourth proportional to 82,712.61, 124,089.69 and 26,557.74 is: 39,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,712.61 : 124,089.69 = 26,557.74 : x
  2. Step 2: Convert to fraction form
    82,712.61/124,089.69 = 26,557.74/x
  3. Step 3: Cross multiply
    82,712.61x = 124,089.69 × 26,557.74
  4. Step 4: Simplify right side
    82,712.61x = 3,295,541,723.70
  5. Step 5: Solve for x
    x = 3,295,541,723.70/82,712.61
  6. Step 6: Final answer
    x = 39,843.28

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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.