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Finding the Fourth Proportional to 83.04, 123.96 and 71.70

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Solution

The fourth proportional to 83.04, 123.96 and 71.70 is: 107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 123.96 = 71.70 : x
  2. Step 2: Convert to fraction form
    83.04/123.96 = 71.70/x
  3. Step 3: Cross multiply
    83.04x = 123.96 × 71.70
  4. Step 4: Simplify right side
    83.04x = 8,887.93
  5. Step 5: Solve for x
    x = 8,887.93/83.04
  6. Step 6: Final answer
    x = 107.03

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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.