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Finding the Fourth Proportional to 109.80, 151.42 and 84.96

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Solution

The fourth proportional to 109.80, 151.42 and 84.96 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 151.42 = 84.96 : x
  2. Step 2: Convert to fraction form
    109.80/151.42 = 84.96/x
  3. Step 3: Cross multiply
    109.80x = 151.42 × 84.96
  4. Step 4: Simplify right side
    109.80x = 12,864.56
  5. Step 5: Solve for x
    x = 12,864.56/109.80
  6. Step 6: Final answer
    x = 117.16

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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.