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Finding the Fourth Proportional to 91.17, 136.92 and 75.98

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Solution

The fourth proportional to 91.17, 136.92 and 75.98 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.17 : 136.92 = 75.98 : x
  2. Step 2: Convert to fraction form
    91.17/136.92 = 75.98/x
  3. Step 3: Cross multiply
    91.17x = 136.92 × 75.98
  4. Step 4: Simplify right side
    91.17x = 10,403.81
  5. Step 5: Solve for x
    x = 10,403.81/91.17
  6. Step 6: Final answer
    x = 114.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.