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Finding the Fourth Proportional to 123.60, 169.88 and 100.25

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Solution

The fourth proportional to 123.60, 169.88 and 100.25 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 169.88 = 100.25 : x
  2. Step 2: Convert to fraction form
    123.60/169.88 = 100.25/x
  3. Step 3: Cross multiply
    123.60x = 169.88 × 100.25
  4. Step 4: Simplify right side
    123.60x = 17,030.47
  5. Step 5: Solve for x
    x = 17,030.47/123.60
  6. Step 6: Final answer
    x = 137.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.