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Finding the Fourth Proportional to 185,489.60, 278,320.80 and 96,843.20

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Solution

The fourth proportional to 185,489.60, 278,320.80 and 96,843.20 is: 145,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,489.60 : 278,320.80 = 96,843.20 : x
  2. Step 2: Convert to fraction form
    185,489.60/278,320.80 = 96,843.20/x
  3. Step 3: Cross multiply
    185,489.60x = 278,320.80 × 96,843.20
  4. Step 4: Simplify right side
    185,489.60x = 26,953,476,898.56
  5. Step 5: Solve for x
    x = 26,953,476,898.56/185,489.60
  6. Step 6: Final answer
    x = 145,309.91

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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.