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Finding the Fourth Proportional to 172,890.56, 258,891.24 and 138,997.28

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Solution

The fourth proportional to 172,890.56, 258,891.24 and 138,997.28 is: 208,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,890.56 : 258,891.24 = 138,997.28 : x
  2. Step 2: Convert to fraction form
    172,890.56/258,891.24 = 138,997.28/x
  3. Step 3: Cross multiply
    172,890.56x = 258,891.24 × 138,997.28
  4. Step 4: Simplify right side
    172,890.56x = 35,985,178,175.83
  5. Step 5: Solve for x
    x = 35,985,178,175.83/172,890.56
  6. Step 6: Final answer
    x = 208,138.48

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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.