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Finding the Fourth Proportional to 172,757.76, 258,981.12 and 61,872

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Solution

The fourth proportional to 172,757.76, 258,981.12 and 61,872 is: 92,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,757.76 : 258,981.12 = 61,872 : x
  2. Step 2: Convert to fraction form
    172,757.76/258,981.12 = 61,872/x
  3. Step 3: Cross multiply
    172,757.76x = 258,981.12 × 61,872
  4. Step 4: Simplify right side
    172,757.76x = 16,023,679,856.64
  5. Step 5: Solve for x
    x = 16,023,679,856.64/172,757.76
  6. Step 6: Final answer
    x = 92,752.30

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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.