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Finding the Fourth Proportional to 172,909.90, 259,364.85 and 102,753.10

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Solution

The fourth proportional to 172,909.90, 259,364.85 and 102,753.10 is: 154,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,909.90 : 259,364.85 = 102,753.10 : x
  2. Step 2: Convert to fraction form
    172,909.90/259,364.85 = 102,753.10/x
  3. Step 3: Cross multiply
    172,909.90x = 259,364.85 × 102,753.10
  4. Step 4: Simplify right side
    172,909.90x = 26,650,542,368.54
  5. Step 5: Solve for x
    x = 26,650,542,368.54/172,909.90
  6. Step 6: Final answer
    x = 154,129.65

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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.