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Finding the Fourth Proportional to 81,634, 122,494.56 and 34,876.12

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Solution

The fourth proportional to 81,634, 122,494.56 and 34,876.12 is: 52,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,634 : 122,494.56 = 34,876.12 : x
  2. Step 2: Convert to fraction form
    81,634/122,494.56 = 34,876.12/x
  3. Step 3: Cross multiply
    81,634x = 122,494.56 × 34,876.12
  4. Step 4: Simplify right side
    81,634x = 4,272,134,973.91
  5. Step 5: Solve for x
    x = 4,272,134,973.91/81,634
  6. Step 6: Final answer
    x = 52,332.79

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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.