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Finding the Fourth Proportional to 91.72, 126.48 and 77.14

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Solution

The fourth proportional to 91.72, 126.48 and 77.14 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.72 : 126.48 = 77.14 : x
  2. Step 2: Convert to fraction form
    91.72/126.48 = 77.14/x
  3. Step 3: Cross multiply
    91.72x = 126.48 × 77.14
  4. Step 4: Simplify right side
    91.72x = 9,756.67
  5. Step 5: Solve for x
    x = 9,756.67/91.72
  6. Step 6: Final answer
    x = 106.37

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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.