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Finding the Fourth Proportional to 129,078.52, 178,051.12 and 81,248.80

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Solution

The fourth proportional to 129,078.52, 178,051.12 and 81,248.80 is: 112,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,078.52 : 178,051.12 = 81,248.80 : x
  2. Step 2: Convert to fraction form
    129,078.52/178,051.12 = 81,248.80/x
  3. Step 3: Cross multiply
    129,078.52x = 178,051.12 × 81,248.80
  4. Step 4: Simplify right side
    129,078.52x = 14,466,439,838.66
  5. Step 5: Solve for x
    x = 14,466,439,838.66/129,078.52
  6. Step 6: Final answer
    x = 112,074.73

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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.