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Finding the Fourth Proportional to 187,858.38, 281,803.97 and 47,617

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Solution

The fourth proportional to 187,858.38, 281,803.97 and 47,617 is: 71,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,858.38 : 281,803.97 = 47,617 : x
  2. Step 2: Convert to fraction form
    187,858.38/281,803.97 = 47,617/x
  3. Step 3: Cross multiply
    187,858.38x = 281,803.97 × 47,617
  4. Step 4: Simplify right side
    187,858.38x = 13,418,659,401.41
  5. Step 5: Solve for x
    x = 13,418,659,401.41/187,858.38
  6. Step 6: Final answer
    x = 71,429.66

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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.