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Finding the Fourth Proportional to 99.42, 136.90 and 85.62

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Solution

The fourth proportional to 99.42, 136.90 and 85.62 is: 117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 136.90 = 85.62 : x
  2. Step 2: Convert to fraction form
    99.42/136.90 = 85.62/x
  3. Step 3: Cross multiply
    99.42x = 136.90 × 85.62
  4. Step 4: Simplify right side
    99.42x = 11,721.38
  5. Step 5: Solve for x
    x = 11,721.38/99.42
  6. Step 6: Final answer
    x = 117.90

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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.