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Finding the Fourth Proportional to 147.71, 221.38 and 75.53

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Solution

The fourth proportional to 147.71, 221.38 and 75.53 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.71 : 221.38 = 75.53 : x
  2. Step 2: Convert to fraction form
    147.71/221.38 = 75.53/x
  3. Step 3: Cross multiply
    147.71x = 221.38 × 75.53
  4. Step 4: Simplify right side
    147.71x = 16,719.54
  5. Step 5: Solve for x
    x = 16,719.54/147.71
  6. Step 6: Final answer
    x = 113.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.