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Finding the Fourth Proportional to 109.92, 151.62 and 71.16

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Solution

The fourth proportional to 109.92, 151.62 and 71.16 is: 98.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.92 : 151.62 = 71.16 : x
  2. Step 2: Convert to fraction form
    109.92/151.62 = 71.16/x
  3. Step 3: Cross multiply
    109.92x = 151.62 × 71.16
  4. Step 4: Simplify right side
    109.92x = 10,789.28
  5. Step 5: Solve for x
    x = 10,789.28/109.92
  6. Step 6: Final answer
    x = 98.16

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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.