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Finding the Fourth Proportional to 252,709.59, 378,937.61 and 84,170.67

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Solution

The fourth proportional to 252,709.59, 378,937.61 and 84,170.67 is: 126,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,709.59 : 378,937.61 = 84,170.67 : x
  2. Step 2: Convert to fraction form
    252,709.59/378,937.61 = 84,170.67/x
  3. Step 3: Cross multiply
    252,709.59x = 378,937.61 × 84,170.67
  4. Step 4: Simplify right side
    252,709.59x = 31,895,432,521.90
  5. Step 5: Solve for x
    x = 31,895,432,521.90/252,709.59
  6. Step 6: Final answer
    x = 126,213.78

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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.