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Finding the Fourth Proportional to 115,281.92, 159,092.16 and 64,992.80

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Solution

The fourth proportional to 115,281.92, 159,092.16 and 64,992.80 is: 89,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,281.92 : 159,092.16 = 64,992.80 : x
  2. Step 2: Convert to fraction form
    115,281.92/159,092.16 = 64,992.80/x
  3. Step 3: Cross multiply
    115,281.92x = 159,092.16 × 64,992.80
  4. Step 4: Simplify right side
    115,281.92x = 10,339,844,936.45
  5. Step 5: Solve for x
    x = 10,339,844,936.45/115,281.92
  6. Step 6: Final answer
    x = 89,691.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.