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Finding the Fourth Proportional to 124.49, 171.84 and 75.36

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Solution

The fourth proportional to 124.49, 171.84 and 75.36 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.49 : 171.84 = 75.36 : x
  2. Step 2: Convert to fraction form
    124.49/171.84 = 75.36/x
  3. Step 3: Cross multiply
    124.49x = 171.84 × 75.36
  4. Step 4: Simplify right side
    124.49x = 12,948.92
  5. Step 5: Solve for x
    x = 12,948.92/124.49
  6. Step 6: Final answer
    x = 104.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.