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Finding the Fourth Proportional to 111,617.19, 167,024.84 and 81,961.47

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Solution

The fourth proportional to 111,617.19, 167,024.84 and 81,961.47 is: 122,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,617.19 : 167,024.84 = 81,961.47 : x
  2. Step 2: Convert to fraction form
    111,617.19/167,024.84 = 81,961.47/x
  3. Step 3: Cross multiply
    111,617.19x = 167,024.84 × 81,961.47
  4. Step 4: Simplify right side
    111,617.19x = 13,689,601,003.11
  5. Step 5: Solve for x
    x = 13,689,601,003.11/111,617.19
  6. Step 6: Final answer
    x = 122,647.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.