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Finding the Fourth Proportional to 73.71, 101.45 and 63.86

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Solution

The fourth proportional to 73.71, 101.45 and 63.86 is: 87.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.71 : 101.45 = 63.86 : x
  2. Step 2: Convert to fraction form
    73.71/101.45 = 63.86/x
  3. Step 3: Cross multiply
    73.71x = 101.45 × 63.86
  4. Step 4: Simplify right side
    73.71x = 6,477.77
  5. Step 5: Solve for x
    x = 6,477.77/73.71
  6. Step 6: Final answer
    x = 87.88

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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.