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Finding the Fourth Proportional to 76,881.71, 115,321.86 and 24,291.20

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Solution

The fourth proportional to 76,881.71, 115,321.86 and 24,291.20 is: 36,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.71 : 115,321.86 = 24,291.20 : x
  2. Step 2: Convert to fraction form
    76,881.71/115,321.86 = 24,291.20/x
  3. Step 3: Cross multiply
    76,881.71x = 115,321.86 × 24,291.20
  4. Step 4: Simplify right side
    76,881.71x = 2,801,305,789.02
  5. Step 5: Solve for x
    x = 2,801,305,789.02/76,881.71
  6. Step 6: Final answer
    x = 36,436.57

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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.