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Finding the Fourth Proportional to 154,496.80, 231,749.52 and 54,642.88

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Solution

The fourth proportional to 154,496.80, 231,749.52 and 54,642.88 is: 81,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,496.80 : 231,749.52 = 54,642.88 : x
  2. Step 2: Convert to fraction form
    154,496.80/231,749.52 = 54,642.88/x
  3. Step 3: Cross multiply
    154,496.80x = 231,749.52 × 54,642.88
  4. Step 4: Simplify right side
    154,496.80x = 12,663,461,211.42
  5. Step 5: Solve for x
    x = 12,663,461,211.42/154,496.80
  6. Step 6: Final answer
    x = 81,965.85

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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.