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Finding the Fourth Proportional to 131.35, 195.78 and 124.06

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Solution

The fourth proportional to 131.35, 195.78 and 124.06 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.35 : 195.78 = 124.06 : x
  2. Step 2: Convert to fraction form
    131.35/195.78 = 124.06/x
  3. Step 3: Cross multiply
    131.35x = 195.78 × 124.06
  4. Step 4: Simplify right side
    131.35x = 24,288.47
  5. Step 5: Solve for x
    x = 24,288.47/131.35
  6. Step 6: Final answer
    x = 184.91

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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.