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Finding the Fourth Proportional to 172,058.46, 257,987.25 and 66,754.41

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Solution

The fourth proportional to 172,058.46, 257,987.25 and 66,754.41 is: 100,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058.46 : 257,987.25 = 66,754.41 : x
  2. Step 2: Convert to fraction form
    172,058.46/257,987.25 = 66,754.41/x
  3. Step 3: Cross multiply
    172,058.46x = 257,987.25 × 66,754.41
  4. Step 4: Simplify right side
    172,058.46x = 17,221,786,661.27
  5. Step 5: Solve for x
    x = 17,221,786,661.27/172,058.46
  6. Step 6: Final answer
    x = 100,092.65

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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.