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Finding the Fourth Proportional to 185,449.92, 278,209.46 and 84,255.06

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Solution

The fourth proportional to 185,449.92, 278,209.46 and 84,255.06 is: 126,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,449.92 : 278,209.46 = 84,255.06 : x
  2. Step 2: Convert to fraction form
    185,449.92/278,209.46 = 84,255.06/x
  3. Step 3: Cross multiply
    185,449.92x = 278,209.46 × 84,255.06
  4. Step 4: Simplify right side
    185,449.92x = 23,440,554,744.87
  5. Step 5: Solve for x
    x = 23,440,554,744.87/185,449.92
  6. Step 6: Final answer
    x = 126,398.30

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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.