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Finding the Fourth Proportional to 100,250.46, 138,495.42 and 65,876.49

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Solution

The fourth proportional to 100,250.46, 138,495.42 and 65,876.49 is: 91,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,250.46 : 138,495.42 = 65,876.49 : x
  2. Step 2: Convert to fraction form
    100,250.46/138,495.42 = 65,876.49/x
  3. Step 3: Cross multiply
    100,250.46x = 138,495.42 × 65,876.49
  4. Step 4: Simplify right side
    100,250.46x = 9,123,592,150.68
  5. Step 5: Solve for x
    x = 9,123,592,150.68/100,250.46
  6. Step 6: Final answer
    x = 91,007.98

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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.