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Finding the Fourth Proportional to 167,199.72, 230,843.70 and 103,605

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Solution

The fourth proportional to 167,199.72, 230,843.70 and 103,605 is: 143,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,199.72 : 230,843.70 = 103,605 : x
  2. Step 2: Convert to fraction form
    167,199.72/230,843.70 = 103,605/x
  3. Step 3: Cross multiply
    167,199.72x = 230,843.70 × 103,605
  4. Step 4: Simplify right side
    167,199.72x = 23,916,561,538.50
  5. Step 5: Solve for x
    x = 23,916,561,538.50/167,199.72
  6. Step 6: Final answer
    x = 143,041.88

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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.