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Finding the Fourth Proportional to 131.43, 181.29 and 84.72

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Solution

The fourth proportional to 131.43, 181.29 and 84.72 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.43 : 181.29 = 84.72 : x
  2. Step 2: Convert to fraction form
    131.43/181.29 = 84.72/x
  3. Step 3: Cross multiply
    131.43x = 181.29 × 84.72
  4. Step 4: Simplify right side
    131.43x = 15,358.89
  5. Step 5: Solve for x
    x = 15,358.89/131.43
  6. Step 6: Final answer
    x = 116.86

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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.