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Finding the Fourth Proportional to 73.71, 101.12 and 71.28

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Solution

The fourth proportional to 73.71, 101.12 and 71.28 is: 97.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.71 : 101.12 = 71.28 : x
  2. Step 2: Convert to fraction form
    73.71/101.12 = 71.28/x
  3. Step 3: Cross multiply
    73.71x = 101.12 × 71.28
  4. Step 4: Simplify right side
    73.71x = 7,207.48
  5. Step 5: Solve for x
    x = 7,207.48/73.71
  6. Step 6: Final answer
    x = 97.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.