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Finding the Fourth Proportional to 121,093.61, 167,146.31 and 78,073.16

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Solution

The fourth proportional to 121,093.61, 167,146.31 and 78,073.16 is: 107,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,093.61 : 167,146.31 = 78,073.16 : x
  2. Step 2: Convert to fraction form
    121,093.61/167,146.31 = 78,073.16/x
  3. Step 3: Cross multiply
    121,093.61x = 167,146.31 × 78,073.16
  4. Step 4: Simplify right side
    121,093.61x = 13,049,640,213.67
  5. Step 5: Solve for x
    x = 13,049,640,213.67/121,093.61
  6. Step 6: Final answer
    x = 107,764.90

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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.