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Finding the Fourth Proportional to 91.35, 126.70 and 89.53

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Solution

The fourth proportional to 91.35, 126.70 and 89.53 is: 124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.35 : 126.70 = 89.53 : x
  2. Step 2: Convert to fraction form
    91.35/126.70 = 89.53/x
  3. Step 3: Cross multiply
    91.35x = 126.70 × 89.53
  4. Step 4: Simplify right side
    91.35x = 11,342.91
  5. Step 5: Solve for x
    x = 11,342.91/91.35
  6. Step 6: Final answer
    x = 124.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.