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Finding the Fourth Proportional to 91,257.60, 136,872.72 and 28,920

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Solution

The fourth proportional to 91,257.60, 136,872.72 and 28,920 is: 43,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,257.60 : 136,872.72 = 28,920 : x
  2. Step 2: Convert to fraction form
    91,257.60/136,872.72 = 28,920/x
  3. Step 3: Cross multiply
    91,257.60x = 136,872.72 × 28,920
  4. Step 4: Simplify right side
    91,257.60x = 3,958,359,062.40
  5. Step 5: Solve for x
    x = 3,958,359,062.40/91,257.60
  6. Step 6: Final answer
    x = 43,375.66

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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.