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Finding the Fourth Proportional to 66,876.96, 100,286.28 and 25,294.80

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Solution

The fourth proportional to 66,876.96, 100,286.28 and 25,294.80 is: 37,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,876.96 : 100,286.28 = 25,294.80 : x
  2. Step 2: Convert to fraction form
    66,876.96/100,286.28 = 25,294.80/x
  3. Step 3: Cross multiply
    66,876.96x = 100,286.28 × 25,294.80
  4. Step 4: Simplify right side
    66,876.96x = 2,536,721,136.17
  5. Step 5: Solve for x
    x = 2,536,721,136.17/66,876.96
  6. Step 6: Final answer
    x = 37,931.17

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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.