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Finding the Fourth Proportional to 83.46, 124.50 and 77.64

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Solution

The fourth proportional to 83.46, 124.50 and 77.64 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.46 : 124.50 = 77.64 : x
  2. Step 2: Convert to fraction form
    83.46/124.50 = 77.64/x
  3. Step 3: Cross multiply
    83.46x = 124.50 × 77.64
  4. Step 4: Simplify right side
    83.46x = 9,666.18
  5. Step 5: Solve for x
    x = 9,666.18/83.46
  6. Step 6: Final answer
    x = 115.82

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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.