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Finding the Fourth Proportional to 121,118, 167,142.84 and 68,126

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Solution

The fourth proportional to 121,118, 167,142.84 and 68,126 is: 94,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,118 : 167,142.84 = 68,126 : x
  2. Step 2: Convert to fraction form
    121,118/167,142.84 = 68,126/x
  3. Step 3: Cross multiply
    121,118x = 167,142.84 × 68,126
  4. Step 4: Simplify right side
    121,118x = 11,386,773,117.84
  5. Step 5: Solve for x
    x = 11,386,773,117.84/121,118
  6. Step 6: Final answer
    x = 94,013.88

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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.