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Finding the Fourth Proportional to 90.50, 124.80 and 81.77

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Solution

The fourth proportional to 90.50, 124.80 and 81.77 is: 112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.50 : 124.80 = 81.77 : x
  2. Step 2: Convert to fraction form
    90.50/124.80 = 81.77/x
  3. Step 3: Cross multiply
    90.50x = 124.80 × 81.77
  4. Step 4: Simplify right side
    90.50x = 10,204.90
  5. Step 5: Solve for x
    x = 10,204.90/90.50
  6. Step 6: Final answer
    x = 112.76

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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.