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Finding the Fourth Proportional to 83.25, 124.88 and 50.77

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Solution

The fourth proportional to 83.25, 124.88 and 50.77 is: 76.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 124.88 = 50.77 : x
  2. Step 2: Convert to fraction form
    83.25/124.88 = 50.77/x
  3. Step 3: Cross multiply
    83.25x = 124.88 × 50.77
  4. Step 4: Simplify right side
    83.25x = 6,340.16
  5. Step 5: Solve for x
    x = 6,340.16/83.25
  6. Step 6: Final answer
    x = 76.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.