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Finding the Fourth Proportional to 131.90, 182.16 and 123.71

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Solution

The fourth proportional to 131.90, 182.16 and 123.71 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 182.16 = 123.71 : x
  2. Step 2: Convert to fraction form
    131.90/182.16 = 123.71/x
  3. Step 3: Cross multiply
    131.90x = 182.16 × 123.71
  4. Step 4: Simplify right side
    131.90x = 22,534.10
  5. Step 5: Solve for x
    x = 22,534.10/131.90
  6. Step 6: Final answer
    x = 170.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.