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Finding the Fourth Proportional to 91.43, 125.88 and 77.58

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Solution

The fourth proportional to 91.43, 125.88 and 77.58 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.43 : 125.88 = 77.58 : x
  2. Step 2: Convert to fraction form
    91.43/125.88 = 77.58/x
  3. Step 3: Cross multiply
    91.43x = 125.88 × 77.58
  4. Step 4: Simplify right side
    91.43x = 9,765.77
  5. Step 5: Solve for x
    x = 9,765.77/91.43
  6. Step 6: Final answer
    x = 106.82

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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.