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Finding the Fourth Proportional to 261,175.49, 391,873.95 and 142,708.43

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Solution

The fourth proportional to 261,175.49, 391,873.95 and 142,708.43 is: 214,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,175.49 : 391,873.95 = 142,708.43 : x
  2. Step 2: Convert to fraction form
    261,175.49/391,873.95 = 142,708.43/x
  3. Step 3: Cross multiply
    261,175.49x = 391,873.95 × 142,708.43
  4. Step 4: Simplify right side
    261,175.49x = 55,923,717,142.08
  5. Step 5: Solve for x
    x = 55,923,717,142.08/261,175.49
  6. Step 6: Final answer
    x = 214,123.15

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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.