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Finding the Fourth Proportional to 129.03, 177.75 and 123.54

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Solution

The fourth proportional to 129.03, 177.75 and 123.54 is: 170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 177.75 = 123.54 : x
  2. Step 2: Convert to fraction form
    129.03/177.75 = 123.54/x
  3. Step 3: Cross multiply
    129.03x = 177.75 × 123.54
  4. Step 4: Simplify right side
    129.03x = 21,959.24
  5. Step 5: Solve for x
    x = 21,959.24/129.03
  6. Step 6: Final answer
    x = 170.19

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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.