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Finding the Fourth Proportional to 124.68, 185.85 and 114.96

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Solution

The fourth proportional to 124.68, 185.85 and 114.96 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.68 : 185.85 = 114.96 : x
  2. Step 2: Convert to fraction form
    124.68/185.85 = 114.96/x
  3. Step 3: Cross multiply
    124.68x = 185.85 × 114.96
  4. Step 4: Simplify right side
    124.68x = 21,365.32
  5. Step 5: Solve for x
    x = 21,365.32/124.68
  6. Step 6: Final answer
    x = 171.36

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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.