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Finding the Fourth Proportional to 261,202.70, 391,804.50 and 71,665.68

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Solution

The fourth proportional to 261,202.70, 391,804.50 and 71,665.68 is: 107,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,202.70 : 391,804.50 = 71,665.68 : x
  2. Step 2: Convert to fraction form
    261,202.70/391,804.50 = 71,665.68/x
  3. Step 3: Cross multiply
    261,202.70x = 391,804.50 × 71,665.68
  4. Step 4: Simplify right side
    261,202.70x = 28,078,935,919.56
  5. Step 5: Solve for x
    x = 28,078,935,919.56/261,202.70
  6. Step 6: Final answer
    x = 107,498.64

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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.