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Finding the Fourth Proportional to 124.78, 171.78 and 106.25

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Solution

The fourth proportional to 124.78, 171.78 and 106.25 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 171.78 = 106.25 : x
  2. Step 2: Convert to fraction form
    124.78/171.78 = 106.25/x
  3. Step 3: Cross multiply
    124.78x = 171.78 × 106.25
  4. Step 4: Simplify right side
    124.78x = 18,251.63
  5. Step 5: Solve for x
    x = 18,251.63/124.78
  6. Step 6: Final answer
    x = 146.27

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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.