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Finding the Fourth Proportional to 185,431.20, 278,233.20 and 138,775.20

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Solution

The fourth proportional to 185,431.20, 278,233.20 and 138,775.20 is: 208,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,431.20 : 278,233.20 = 138,775.20 : x
  2. Step 2: Convert to fraction form
    185,431.20/278,233.20 = 138,775.20/x
  3. Step 3: Cross multiply
    185,431.20x = 278,233.20 × 138,775.20
  4. Step 4: Simplify right side
    185,431.20x = 38,611,867,976.64
  5. Step 5: Solve for x
    x = 38,611,867,976.64/185,431.20
  6. Step 6: Final answer
    x = 208,227.46

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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.