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Finding the Fourth Proportional to 129.84, 194.48 and 61.41

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Solution

The fourth proportional to 129.84, 194.48 and 61.41 is: 91.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 194.48 = 61.41 : x
  2. Step 2: Convert to fraction form
    129.84/194.48 = 61.41/x
  3. Step 3: Cross multiply
    129.84x = 194.48 × 61.41
  4. Step 4: Simplify right side
    129.84x = 11,943.02
  5. Step 5: Solve for x
    x = 11,943.02/129.84
  6. Step 6: Final answer
    x = 91.98

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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.