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Finding the Fourth Proportional to 83.10, 124.70 and 34.36

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Solution

The fourth proportional to 83.10, 124.70 and 34.36 is: 51.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 124.70 = 34.36 : x
  2. Step 2: Convert to fraction form
    83.10/124.70 = 34.36/x
  3. Step 3: Cross multiply
    83.10x = 124.70 × 34.36
  4. Step 4: Simplify right side
    83.10x = 4,284.21
  5. Step 5: Solve for x
    x = 4,284.21/83.10
  6. Step 6: Final answer
    x = 51.55

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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.