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Finding the Fourth Proportional to 170,049.77, 254,965.31 and 81,301.31

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Solution

The fourth proportional to 170,049.77, 254,965.31 and 81,301.31 is: 121,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,049.77 : 254,965.31 = 81,301.31 : x
  2. Step 2: Convert to fraction form
    170,049.77/254,965.31 = 81,301.31/x
  3. Step 3: Cross multiply
    170,049.77x = 254,965.31 × 81,301.31
  4. Step 4: Simplify right side
    170,049.77x = 20,729,013,301.05
  5. Step 5: Solve for x
    x = 20,729,013,301.05/170,049.77
  6. Step 6: Final answer
    x = 121,899.68

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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.