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Finding the Fourth Proportional to 154,460.80, 231,691.20 and 54,620.20

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Solution

The fourth proportional to 154,460.80, 231,691.20 and 54,620.20 is: 81,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,460.80 : 231,691.20 = 54,620.20 : x
  2. Step 2: Convert to fraction form
    154,460.80/231,691.20 = 54,620.20/x
  3. Step 3: Cross multiply
    154,460.80x = 231,691.20 × 54,620.20
  4. Step 4: Simplify right side
    154,460.80x = 12,655,019,682.24
  5. Step 5: Solve for x
    x = 12,655,019,682.24/154,460.80
  6. Step 6: Final answer
    x = 81,930.30

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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.