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Finding the Fourth Proportional to 167,643.68, 231,343.90 and 99,660.78

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Solution

The fourth proportional to 167,643.68, 231,343.90 and 99,660.78 is: 137,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,643.68 : 231,343.90 = 99,660.78 : x
  2. Step 2: Convert to fraction form
    167,643.68/231,343.90 = 99,660.78/x
  3. Step 3: Cross multiply
    167,643.68x = 231,343.90 × 99,660.78
  4. Step 4: Simplify right side
    167,643.68x = 23,055,913,273.09
  5. Step 5: Solve for x
    x = 23,055,913,273.09/167,643.68
  6. Step 6: Final answer
    x = 137,529.28

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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.