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Finding the Fourth Proportional to 209,859.65, 314,882.42 and 109,996.10

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Solution

The fourth proportional to 209,859.65, 314,882.42 and 109,996.10 is: 165,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859.65 : 314,882.42 = 109,996.10 : x
  2. Step 2: Convert to fraction form
    209,859.65/314,882.42 = 109,996.10/x
  3. Step 3: Cross multiply
    209,859.65x = 314,882.42 × 109,996.10
  4. Step 4: Simplify right side
    209,859.65x = 34,635,838,158.56
  5. Step 5: Solve for x
    x = 34,635,838,158.56/209,859.65
  6. Step 6: Final answer
    x = 165,042.87

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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.