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Finding the Fourth Proportional to 83.78, 124.97 and 71.02

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Solution

The fourth proportional to 83.78, 124.97 and 71.02 is: 105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 124.97 = 71.02 : x
  2. Step 2: Convert to fraction form
    83.78/124.97 = 71.02/x
  3. Step 3: Cross multiply
    83.78x = 124.97 × 71.02
  4. Step 4: Simplify right side
    83.78x = 8,875.37
  5. Step 5: Solve for x
    x = 8,875.37/83.78
  6. Step 6: Final answer
    x = 105.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.