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Finding the Fourth Proportional to 129.84, 193.67 and 117.54

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Solution

The fourth proportional to 129.84, 193.67 and 117.54 is: 175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 193.67 = 117.54 : x
  2. Step 2: Convert to fraction form
    129.84/193.67 = 117.54/x
  3. Step 3: Cross multiply
    129.84x = 193.67 × 117.54
  4. Step 4: Simplify right side
    129.84x = 22,763.97
  5. Step 5: Solve for x
    x = 22,763.97/129.84
  6. Step 6: Final answer
    x = 175.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.