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Finding the Fourth Proportional to 82,433.90, 123,650.85 and 77,513.15

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Solution

The fourth proportional to 82,433.90, 123,650.85 and 77,513.15 is: 116,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.90 : 123,650.85 = 77,513.15 : x
  2. Step 2: Convert to fraction form
    82,433.90/123,650.85 = 77,513.15/x
  3. Step 3: Cross multiply
    82,433.90x = 123,650.85 × 77,513.15
  4. Step 4: Simplify right side
    82,433.90x = 9,584,566,883.68
  5. Step 5: Solve for x
    x = 9,584,566,883.68/82,433.90
  6. Step 6: Final answer
    x = 116,269.73

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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.