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Finding the Fourth Proportional to 74.04, 101.92 and 63.81

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Solution

The fourth proportional to 74.04, 101.92 and 63.81 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 101.92 = 63.81 : x
  2. Step 2: Convert to fraction form
    74.04/101.92 = 63.81/x
  3. Step 3: Cross multiply
    74.04x = 101.92 × 63.81
  4. Step 4: Simplify right side
    74.04x = 6,503.61
  5. Step 5: Solve for x
    x = 6,503.61/74.04
  6. Step 6: Final answer
    x = 87.85

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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.