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Finding the Fourth Proportional to 108.47, 149.70 and 71.71

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Solution

The fourth proportional to 108.47, 149.70 and 71.71 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.47 : 149.70 = 71.71 : x
  2. Step 2: Convert to fraction form
    108.47/149.70 = 71.71/x
  3. Step 3: Cross multiply
    108.47x = 149.70 × 71.71
  4. Step 4: Simplify right side
    108.47x = 10,734.88
  5. Step 5: Solve for x
    x = 10,734.88/108.47
  6. Step 6: Final answer
    x = 98.96

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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.