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Finding the Fourth Proportional to 154,486.60, 231,729.90 and 54,759.40

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Solution

The fourth proportional to 154,486.60, 231,729.90 and 54,759.40 is: 82,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,486.60 : 231,729.90 = 54,759.40 : x
  2. Step 2: Convert to fraction form
    154,486.60/231,729.90 = 54,759.40/x
  3. Step 3: Cross multiply
    154,486.60x = 231,729.90 × 54,759.40
  4. Step 4: Simplify right side
    154,486.60x = 12,689,390,286.06
  5. Step 5: Solve for x
    x = 12,689,390,286.06/154,486.60
  6. Step 6: Final answer
    x = 82,139.10

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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.