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Finding the Fourth Proportional to 124.12, 186.25 and 77.84

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Solution

The fourth proportional to 124.12, 186.25 and 77.84 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.12 : 186.25 = 77.84 : x
  2. Step 2: Convert to fraction form
    124.12/186.25 = 77.84/x
  3. Step 3: Cross multiply
    124.12x = 186.25 × 77.84
  4. Step 4: Simplify right side
    124.12x = 14,497.36
  5. Step 5: Solve for x
    x = 14,497.36/124.12
  6. Step 6: Final answer
    x = 116.80

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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.