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Finding the Fourth Proportional to 129.04, 177.78 and 119.14

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Solution

The fourth proportional to 129.04, 177.78 and 119.14 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.04 : 177.78 = 119.14 : x
  2. Step 2: Convert to fraction form
    129.04/177.78 = 119.14/x
  3. Step 3: Cross multiply
    129.04x = 177.78 × 119.14
  4. Step 4: Simplify right side
    129.04x = 21,180.71
  5. Step 5: Solve for x
    x = 21,180.71/129.04
  6. Step 6: Final answer
    x = 164.14

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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.