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Finding the Fourth Proportional to 121,042.56, 167,049.36 and 82,758.72

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Solution

The fourth proportional to 121,042.56, 167,049.36 and 82,758.72 is: 114,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,042.56 : 167,049.36 = 82,758.72 : x
  2. Step 2: Convert to fraction form
    121,042.56/167,049.36 = 82,758.72/x
  3. Step 3: Cross multiply
    121,042.56x = 167,049.36 × 82,758.72
  4. Step 4: Simplify right side
    121,042.56x = 13,824,791,210.42
  5. Step 5: Solve for x
    x = 13,824,791,210.42/121,042.56
  6. Step 6: Final answer
    x = 114,214.30

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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.