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Finding the Fourth Proportional to 83,151.74, 124,877.95 and 76,819.81

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Solution

The fourth proportional to 83,151.74, 124,877.95 and 76,819.81 is: 115,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.74 : 124,877.95 = 76,819.81 : x
  2. Step 2: Convert to fraction form
    83,151.74/124,877.95 = 76,819.81/x
  3. Step 3: Cross multiply
    83,151.74x = 124,877.95 × 76,819.81
  4. Step 4: Simplify right side
    83,151.74x = 9,593,099,383.70
  5. Step 5: Solve for x
    x = 9,593,099,383.70/83,151.74
  6. Step 6: Final answer
    x = 115,368.59

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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.