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Finding the Fourth Proportional to 83.15, 124.77 and 48.53

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Solution

The fourth proportional to 83.15, 124.77 and 48.53 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.15 : 124.77 = 48.53 : x
  2. Step 2: Convert to fraction form
    83.15/124.77 = 48.53/x
  3. Step 3: Cross multiply
    83.15x = 124.77 × 48.53
  4. Step 4: Simplify right side
    83.15x = 6,054.46
  5. Step 5: Solve for x
    x = 6,054.46/83.15
  6. Step 6: Final answer
    x = 72.82

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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.