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Finding the Fourth Proportional to 129,169.89, 178,257.51 and 71,810.96

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Solution

The fourth proportional to 129,169.89, 178,257.51 and 71,810.96 is: 99,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,169.89 : 178,257.51 = 71,810.96 : x
  2. Step 2: Convert to fraction form
    129,169.89/178,257.51 = 71,810.96/x
  3. Step 3: Cross multiply
    129,169.89x = 178,257.51 × 71,810.96
  4. Step 4: Simplify right side
    129,169.89x = 12,800,842,029.02
  5. Step 5: Solve for x
    x = 12,800,842,029.02/129,169.89
  6. Step 6: Final answer
    x = 99,100.82

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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.