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Finding the Fourth Proportional to 66,500, 99,749.88 and 38,778.56

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Solution

The fourth proportional to 66,500, 99,749.88 and 38,778.56 is: 58,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500 : 99,749.88 = 38,778.56 : x
  2. Step 2: Convert to fraction form
    66,500/99,749.88 = 38,778.56/x
  3. Step 3: Cross multiply
    66,500x = 99,749.88 × 38,778.56
  4. Step 4: Simplify right side
    66,500x = 3,868,156,706.57
  5. Step 5: Solve for x
    x = 3,868,156,706.57/66,500
  6. Step 6: Final answer
    x = 58,167.77

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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.