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Finding the Fourth Proportional to 129.59, 194.38 and 123.10

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Solution

The fourth proportional to 129.59, 194.38 and 123.10 is: 184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.59 : 194.38 = 123.10 : x
  2. Step 2: Convert to fraction form
    129.59/194.38 = 123.10/x
  3. Step 3: Cross multiply
    129.59x = 194.38 × 123.10
  4. Step 4: Simplify right side
    129.59x = 23,927.38
  5. Step 5: Solve for x
    x = 23,927.38/129.59
  6. Step 6: Final answer
    x = 184.65

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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.