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Finding the Fourth Proportional to 129.85, 194.10 and 99.10

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Solution

The fourth proportional to 129.85, 194.10 and 99.10 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.85 : 194.10 = 99.10 : x
  2. Step 2: Convert to fraction form
    129.85/194.10 = 99.10/x
  3. Step 3: Cross multiply
    129.85x = 194.10 × 99.10
  4. Step 4: Simplify right side
    129.85x = 19,234.64
  5. Step 5: Solve for x
    x = 19,234.64/129.85
  6. Step 6: Final answer
    x = 148.13

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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.