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Finding the Fourth Proportional to 83.09, 124.61 and 52.22

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Solution

The fourth proportional to 83.09, 124.61 and 52.22 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 124.61 = 52.22 : x
  2. Step 2: Convert to fraction form
    83.09/124.61 = 52.22/x
  3. Step 3: Cross multiply
    83.09x = 124.61 × 52.22
  4. Step 4: Simplify right side
    83.09x = 6,507.13
  5. Step 5: Solve for x
    x = 6,507.13/83.09
  6. Step 6: Final answer
    x = 78.32

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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.