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Finding the Fourth Proportional to 123.90, 185.62 and 118.28

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Solution

The fourth proportional to 123.90, 185.62 and 118.28 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.90 : 185.62 = 118.28 : x
  2. Step 2: Convert to fraction form
    123.90/185.62 = 118.28/x
  3. Step 3: Cross multiply
    123.90x = 185.62 × 118.28
  4. Step 4: Simplify right side
    123.90x = 21,955.13
  5. Step 5: Solve for x
    x = 21,955.13/123.90
  6. Step 6: Final answer
    x = 177.20

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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.