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Finding the Fourth Proportional to 211,164.43, 316,010.32 and 172,769.97

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Solution

The fourth proportional to 211,164.43, 316,010.32 and 172,769.97 is: 258,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164.43 : 316,010.32 = 172,769.97 : x
  2. Step 2: Convert to fraction form
    211,164.43/316,010.32 = 172,769.97/x
  3. Step 3: Cross multiply
    211,164.43x = 316,010.32 × 172,769.97
  4. Step 4: Simplify right side
    211,164.43x = 54,597,093,074.17
  5. Step 5: Solve for x
    x = 54,597,093,074.17/211,164.43
  6. Step 6: Final answer
    x = 258,552.51

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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.