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Finding the Fourth Proportional to 187,287.84, 280,910.88 and 47,046.78

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Solution

The fourth proportional to 187,287.84, 280,910.88 and 47,046.78 is: 70,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,287.84 : 280,910.88 = 47,046.78 : x
  2. Step 2: Convert to fraction form
    187,287.84/280,910.88 = 47,046.78/x
  3. Step 3: Cross multiply
    187,287.84x = 280,910.88 × 47,046.78
  4. Step 4: Simplify right side
    187,287.84x = 13,215,952,370.97
  5. Step 5: Solve for x
    x = 13,215,952,370.97/187,287.84
  6. Step 6: Final answer
    x = 70,564.92

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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.