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Finding the Fourth Proportional to 172,524.60, 258,543.90 and 137,046.60

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Solution

The fourth proportional to 172,524.60, 258,543.90 and 137,046.60 is: 205,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,524.60 : 258,543.90 = 137,046.60 : x
  2. Step 2: Convert to fraction form
    172,524.60/258,543.90 = 137,046.60/x
  3. Step 3: Cross multiply
    172,524.60x = 258,543.90 × 137,046.60
  4. Step 4: Simplify right side
    172,524.60x = 35,432,562,445.74
  5. Step 5: Solve for x
    x = 35,432,562,445.74/172,524.60
  6. Step 6: Final answer
    x = 205,376.87

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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.