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Finding the Fourth Proportional to 172,344.86, 258,377.85 and 77,505.60

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Solution

The fourth proportional to 172,344.86, 258,377.85 and 77,505.60 is: 116,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,344.86 : 258,377.85 = 77,505.60 : x
  2. Step 2: Convert to fraction form
    172,344.86/258,377.85 = 77,505.60/x
  3. Step 3: Cross multiply
    172,344.86x = 258,377.85 × 77,505.60
  4. Step 4: Simplify right side
    172,344.86x = 20,025,730,290.96
  5. Step 5: Solve for x
    x = 20,025,730,290.96/172,344.86
  6. Step 6: Final answer
    x = 116,195.70

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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.