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Finding the Fourth Proportional to 129,714.39, 178,978.64 and 78,753.95

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Solution

The fourth proportional to 129,714.39, 178,978.64 and 78,753.95 is: 108,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714.39 : 178,978.64 = 78,753.95 : x
  2. Step 2: Convert to fraction form
    129,714.39/178,978.64 = 78,753.95/x
  3. Step 3: Cross multiply
    129,714.39x = 178,978.64 × 78,753.95
  4. Step 4: Simplify right side
    129,714.39x = 14,095,274,865.63
  5. Step 5: Solve for x
    x = 14,095,274,865.63/129,714.39
  6. Step 6: Final answer
    x = 108,663.93

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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.