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Finding the Fourth Proportional to 71.93, 99.19 and 61.61

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Solution

The fourth proportional to 71.93, 99.19 and 61.61 is: 84.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 99.19 = 61.61 : x
  2. Step 2: Convert to fraction form
    71.93/99.19 = 61.61/x
  3. Step 3: Cross multiply
    71.93x = 99.19 × 61.61
  4. Step 4: Simplify right side
    71.93x = 6,110.68
  5. Step 5: Solve for x
    x = 6,110.68/71.93
  6. Step 6: Final answer
    x = 84.95

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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.