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Finding the Fourth Proportional to 185,387.96, 278,164.65 and 85,494.53

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Solution

The fourth proportional to 185,387.96, 278,164.65 and 85,494.53 is: 128,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,387.96 : 278,164.65 = 85,494.53 : x
  2. Step 2: Convert to fraction form
    185,387.96/278,164.65 = 85,494.53/x
  3. Step 3: Cross multiply
    185,387.96x = 278,164.65 × 85,494.53
  4. Step 4: Simplify right side
    185,387.96x = 23,781,556,014.36
  5. Step 5: Solve for x
    x = 23,781,556,014.36/185,387.96
  6. Step 6: Final answer
    x = 128,279.94

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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.