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Finding the Fourth Proportional to 82,711.63, 124,079.74 and 38,342.86

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Solution

The fourth proportional to 82,711.63, 124,079.74 and 38,342.86 is: 57,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,711.63 : 124,079.74 = 38,342.86 : x
  2. Step 2: Convert to fraction form
    82,711.63/124,079.74 = 38,342.86/x
  3. Step 3: Cross multiply
    82,711.63x = 124,079.74 × 38,342.86
  4. Step 4: Simplify right side
    82,711.63x = 4,757,572,099.66
  5. Step 5: Solve for x
    x = 4,757,572,099.66/82,711.63
  6. Step 6: Final answer
    x = 57,519.99

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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.