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Finding the Fourth Proportional to 99.78, 137.54 and 71.71

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Solution

The fourth proportional to 99.78, 137.54 and 71.71 is: 98.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.78 : 137.54 = 71.71 : x
  2. Step 2: Convert to fraction form
    99.78/137.54 = 71.71/x
  3. Step 3: Cross multiply
    99.78x = 137.54 × 71.71
  4. Step 4: Simplify right side
    99.78x = 9,862.99
  5. Step 5: Solve for x
    x = 9,862.99/99.78
  6. Step 6: Final answer
    x = 98.85

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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.