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Finding the Fourth Proportional to 91.07, 125.65 and 72.61

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Solution

The fourth proportional to 91.07, 125.65 and 72.61 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.07 : 125.65 = 72.61 : x
  2. Step 2: Convert to fraction form
    91.07/125.65 = 72.61/x
  3. Step 3: Cross multiply
    91.07x = 125.65 × 72.61
  4. Step 4: Simplify right side
    91.07x = 9,123.93
  5. Step 5: Solve for x
    x = 9,123.93/91.07
  6. Step 6: Final answer
    x = 100.18

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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.