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Finding the Fourth Proportional to 99.99, 136.24 and 97.76

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Solution

The fourth proportional to 99.99, 136.24 and 97.76 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.99 : 136.24 = 97.76 : x
  2. Step 2: Convert to fraction form
    99.99/136.24 = 97.76/x
  3. Step 3: Cross multiply
    99.99x = 136.24 × 97.76
  4. Step 4: Simplify right side
    99.99x = 13,318.92
  5. Step 5: Solve for x
    x = 13,318.92/99.99
  6. Step 6: Final answer
    x = 133.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.