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Finding the Fourth Proportional to 83.14, 124.68 and 56.05

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Solution

The fourth proportional to 83.14, 124.68 and 56.05 is: 84.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 124.68 = 56.05 : x
  2. Step 2: Convert to fraction form
    83.14/124.68 = 56.05/x
  3. Step 3: Cross multiply
    83.14x = 124.68 × 56.05
  4. Step 4: Simplify right side
    83.14x = 6,988.31
  5. Step 5: Solve for x
    x = 6,988.31/83.14
  6. Step 6: Final answer
    x = 84.05

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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.