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Finding the Fourth Proportional to 81,165, 121,640.58 and 34,359.96

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Solution

The fourth proportional to 81,165, 121,640.58 and 34,359.96 is: 51,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,165 : 121,640.58 = 34,359.96 : x
  2. Step 2: Convert to fraction form
    81,165/121,640.58 = 34,359.96/x
  3. Step 3: Cross multiply
    81,165x = 121,640.58 × 34,359.96
  4. Step 4: Simplify right side
    81,165x = 4,179,565,463.18
  5. Step 5: Solve for x
    x = 4,179,565,463.18/81,165
  6. Step 6: Final answer
    x = 51,494.68

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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.