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Finding the Fourth Proportional to 259,105.78, 387,780.83 and 159,329.17

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Solution

The fourth proportional to 259,105.78, 387,780.83 and 159,329.17 is: 238,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,105.78 : 387,780.83 = 159,329.17 : x
  2. Step 2: Convert to fraction form
    259,105.78/387,780.83 = 159,329.17/x
  3. Step 3: Cross multiply
    259,105.78x = 387,780.83 × 159,329.17
  4. Step 4: Simplify right side
    259,105.78x = 61,784,795,050.26
  5. Step 5: Solve for x
    x = 61,784,795,050.26/259,105.78
  6. Step 6: Final answer
    x = 238,453.95

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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.