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Finding the Fourth Proportional to 172,891.56, 258,892.74 and 138,998.28

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Solution

The fourth proportional to 172,891.56, 258,892.74 and 138,998.28 is: 208,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,891.56 : 258,892.74 = 138,998.28 : x
  2. Step 2: Convert to fraction form
    172,891.56/258,892.74 = 138,998.28/x
  3. Step 3: Cross multiply
    172,891.56x = 258,892.74 × 138,998.28
  4. Step 4: Simplify right side
    172,891.56x = 35,985,645,564.49
  5. Step 5: Solve for x
    x = 35,985,645,564.49/172,891.56
  6. Step 6: Final answer
    x = 208,139.98

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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.