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Finding the Fourth Proportional to 261,082.71, 391,644.10 and 111,323.78

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Solution

The fourth proportional to 261,082.71, 391,644.10 and 111,323.78 is: 166,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,082.71 : 391,644.10 = 111,323.78 : x
  2. Step 2: Convert to fraction form
    261,082.71/391,644.10 = 111,323.78/x
  3. Step 3: Cross multiply
    261,082.71x = 391,644.10 × 111,323.78
  4. Step 4: Simplify right side
    261,082.71x = 43,599,300,369.28
  5. Step 5: Solve for x
    x = 43,599,300,369.28/261,082.71
  6. Step 6: Final answer
    x = 166,994.21

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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.