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Finding the Fourth Proportional to 83.13, 124.82 and 78.57

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Solution

The fourth proportional to 83.13, 124.82 and 78.57 is: 117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 124.82 = 78.57 : x
  2. Step 2: Convert to fraction form
    83.13/124.82 = 78.57/x
  3. Step 3: Cross multiply
    83.13x = 124.82 × 78.57
  4. Step 4: Simplify right side
    83.13x = 9,807.45
  5. Step 5: Solve for x
    x = 9,807.45/83.13
  6. Step 6: Final answer
    x = 117.98

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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.