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Finding the Fourth Proportional to 83,808, 125,691.28 and 50,083.68

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Solution

The fourth proportional to 83,808, 125,691.28 and 50,083.68 is: 75,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,808 : 125,691.28 = 50,083.68 : x
  2. Step 2: Convert to fraction form
    83,808/125,691.28 = 50,083.68/x
  3. Step 3: Cross multiply
    83,808x = 125,691.28 × 50,083.68
  4. Step 4: Simplify right side
    83,808x = 6,295,081,846.31
  5. Step 5: Solve for x
    x = 6,295,081,846.31/83,808
  6. Step 6: Final answer
    x = 75,113.14

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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.