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Finding the Fourth Proportional to 81,702.32, 122,524.11 and 29,101.32

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Solution

The fourth proportional to 81,702.32, 122,524.11 and 29,101.32 is: 43,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.32 : 122,524.11 = 29,101.32 : x
  2. Step 2: Convert to fraction form
    81,702.32/122,524.11 = 29,101.32/x
  3. Step 3: Cross multiply
    81,702.32x = 122,524.11 × 29,101.32
  4. Step 4: Simplify right side
    81,702.32x = 3,565,613,332.83
  5. Step 5: Solve for x
    x = 3,565,613,332.83/81,702.32
  6. Step 6: Final answer
    x = 43,641.52

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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.