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Finding the Fourth Proportional to 124.78, 187.20 and 105.48

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Solution

The fourth proportional to 124.78, 187.20 and 105.48 is: 158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 187.20 = 105.48 : x
  2. Step 2: Convert to fraction form
    124.78/187.20 = 105.48/x
  3. Step 3: Cross multiply
    124.78x = 187.20 × 105.48
  4. Step 4: Simplify right side
    124.78x = 19,744.92
  5. Step 5: Solve for x
    x = 19,744.92/124.78
  6. Step 6: Final answer
    x = 158.24

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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.