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Finding the Fourth Proportional to 100.48, 138.67 and 61.14

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Solution

The fourth proportional to 100.48, 138.67 and 61.14 is: 84.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.48 : 138.67 = 61.14 : x
  2. Step 2: Convert to fraction form
    100.48/138.67 = 61.14/x
  3. Step 3: Cross multiply
    100.48x = 138.67 × 61.14
  4. Step 4: Simplify right side
    100.48x = 8,478.28
  5. Step 5: Solve for x
    x = 8,478.28/100.48
  6. Step 6: Final answer
    x = 84.38

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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.