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Finding the Fourth Proportional to 129,169.80, 178,314.88 and 86,221.86

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Solution

The fourth proportional to 129,169.80, 178,314.88 and 86,221.86 is: 119,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,169.80 : 178,314.88 = 86,221.86 : x
  2. Step 2: Convert to fraction form
    129,169.80/178,314.88 = 86,221.86/x
  3. Step 3: Cross multiply
    129,169.80x = 178,314.88 × 86,221.86
  4. Step 4: Simplify right side
    129,169.80x = 15,374,640,619.28
  5. Step 5: Solve for x
    x = 15,374,640,619.28/129,169.80
  6. Step 6: Final answer
    x = 119,026.59

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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.