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Finding the Fourth Proportional to 185,343.65, 278,027.25 and 65,385.75

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Solution

The fourth proportional to 185,343.65, 278,027.25 and 65,385.75 is: 98,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,343.65 : 278,027.25 = 65,385.75 : x
  2. Step 2: Convert to fraction form
    185,343.65/278,027.25 = 65,385.75/x
  3. Step 3: Cross multiply
    185,343.65x = 278,027.25 × 65,385.75
  4. Step 4: Simplify right side
    185,343.65x = 18,179,020,261.69
  5. Step 5: Solve for x
    x = 18,179,020,261.69/185,343.65
  6. Step 6: Final answer
    x = 98,082.78

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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.