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Finding the Fourth Proportional to 130.08, 194.19 and 124.68

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Solution

The fourth proportional to 130.08, 194.19 and 124.68 is: 186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 194.19 = 124.68 : x
  2. Step 2: Convert to fraction form
    130.08/194.19 = 124.68/x
  3. Step 3: Cross multiply
    130.08x = 194.19 × 124.68
  4. Step 4: Simplify right side
    130.08x = 24,211.61
  5. Step 5: Solve for x
    x = 24,211.61/130.08
  6. Step 6: Final answer
    x = 186.13

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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.