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Finding the Fourth Proportional to 100.14, 138.18 and 60.78

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Solution

The fourth proportional to 100.14, 138.18 and 60.78 is: 83.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 138.18 = 60.78 : x
  2. Step 2: Convert to fraction form
    100.14/138.18 = 60.78/x
  3. Step 3: Cross multiply
    100.14x = 138.18 × 60.78
  4. Step 4: Simplify right side
    100.14x = 8,398.58
  5. Step 5: Solve for x
    x = 8,398.58/100.14
  6. Step 6: Final answer
    x = 83.87

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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.