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Finding the Fourth Proportional to 65,733.14, 90,706.47 and 38,876.78

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Solution

The fourth proportional to 65,733.14, 90,706.47 and 38,876.78 is: 53,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733.14 : 90,706.47 = 38,876.78 : x
  2. Step 2: Convert to fraction form
    65,733.14/90,706.47 = 38,876.78/x
  3. Step 3: Cross multiply
    65,733.14x = 90,706.47 × 38,876.78
  4. Step 4: Simplify right side
    65,733.14x = 3,526,375,025.23
  5. Step 5: Solve for x
    x = 3,526,375,025.23/65,733.14
  6. Step 6: Final answer
    x = 53,646.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.