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Finding the Fourth Proportional to 172,932.31, 257,679.41 and 154,067.41

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Solution

The fourth proportional to 172,932.31, 257,679.41 and 154,067.41 is: 229,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,932.31 : 257,679.41 = 154,067.41 : x
  2. Step 2: Convert to fraction form
    172,932.31/257,679.41 = 154,067.41/x
  3. Step 3: Cross multiply
    172,932.31x = 257,679.41 × 154,067.41
  4. Step 4: Simplify right side
    172,932.31x = 39,699,999,309.03
  5. Step 5: Solve for x
    x = 39,699,999,309.03/172,932.31
  6. Step 6: Final answer
    x = 229,569.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.