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Finding the Fourth Proportional to 147.62, 221.74 and 113.45

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Solution

The fourth proportional to 147.62, 221.74 and 113.45 is: 170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.62 : 221.74 = 113.45 : x
  2. Step 2: Convert to fraction form
    147.62/221.74 = 113.45/x
  3. Step 3: Cross multiply
    147.62x = 221.74 × 113.45
  4. Step 4: Simplify right side
    147.62x = 25,156.26
  5. Step 5: Solve for x
    x = 25,156.26/147.62
  6. Step 6: Final answer
    x = 170.41

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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.