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Finding the Fourth Proportional to 90.86, 136.96 and 83.17

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Solution

The fourth proportional to 90.86, 136.96 and 83.17 is: 125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 136.96 = 83.17 : x
  2. Step 2: Convert to fraction form
    90.86/136.96 = 83.17/x
  3. Step 3: Cross multiply
    90.86x = 136.96 × 83.17
  4. Step 4: Simplify right side
    90.86x = 11,390.41
  5. Step 5: Solve for x
    x = 11,390.41/90.86
  6. Step 6: Final answer
    x = 125.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.