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Finding the Fourth Proportional to 258,446.89, 387,694.65 and 76,077.82

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Solution

The fourth proportional to 258,446.89, 387,694.65 and 76,077.82 is: 114,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,446.89 : 387,694.65 = 76,077.82 : x
  2. Step 2: Convert to fraction form
    258,446.89/387,694.65 = 76,077.82/x
  3. Step 3: Cross multiply
    258,446.89x = 387,694.65 × 76,077.82
  4. Step 4: Simplify right side
    258,446.89x = 29,494,962,284.94
  5. Step 5: Solve for x
    x = 29,494,962,284.94/258,446.89
  6. Step 6: Final answer
    x = 114,123.88

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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.