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Finding the Fourth Proportional to 73.77, 101.54 and 63.75

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Solution

The fourth proportional to 73.77, 101.54 and 63.75 is: 87.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.77 : 101.54 = 63.75 : x
  2. Step 2: Convert to fraction form
    73.77/101.54 = 63.75/x
  3. Step 3: Cross multiply
    73.77x = 101.54 × 63.75
  4. Step 4: Simplify right side
    73.77x = 6,472.86
  5. Step 5: Solve for x
    x = 6,472.86/73.77
  6. Step 6: Final answer
    x = 87.74

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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.