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Finding the Fourth Proportional to 114,591.52, 172,150.80 and 81,392.32

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Solution

The fourth proportional to 114,591.52, 172,150.80 and 81,392.32 is: 122,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,591.52 : 172,150.80 = 81,392.32 : x
  2. Step 2: Convert to fraction form
    114,591.52/172,150.80 = 81,392.32/x
  3. Step 3: Cross multiply
    114,591.52x = 172,150.80 × 81,392.32
  4. Step 4: Simplify right side
    114,591.52x = 14,011,753,001.86
  5. Step 5: Solve for x
    x = 14,011,753,001.86/114,591.52
  6. Step 6: Final answer
    x = 122,275.65

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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.