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Finding the Fourth Proportional to 121,463.76, 167,546.50 and 78,375.81

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Solution

The fourth proportional to 121,463.76, 167,546.50 and 78,375.81 is: 108,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,463.76 : 167,546.50 = 78,375.81 : x
  2. Step 2: Convert to fraction form
    121,463.76/167,546.50 = 78,375.81/x
  3. Step 3: Cross multiply
    121,463.76x = 167,546.50 × 78,375.81
  4. Step 4: Simplify right side
    121,463.76x = 13,131,592,650.17
  5. Step 5: Solve for x
    x = 13,131,592,650.17/121,463.76
  6. Step 6: Final answer
    x = 108,111.20

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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.