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Finding the Fourth Proportional to 185,785.60, 278,764.80 and 97,139.20

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Solution

The fourth proportional to 185,785.60, 278,764.80 and 97,139.20 is: 145,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,785.60 : 278,764.80 = 97,139.20 : x
  2. Step 2: Convert to fraction form
    185,785.60/278,764.80 = 97,139.20/x
  3. Step 3: Cross multiply
    185,785.60x = 278,764.80 × 97,139.20
  4. Step 4: Simplify right side
    185,785.60x = 27,078,989,660.16
  5. Step 5: Solve for x
    x = 27,078,989,660.16/185,785.60
  6. Step 6: Final answer
    x = 145,753.97

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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.