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Finding the Fourth Proportional to 187,251.57, 280,835.78 and 54,102.69

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Solution

The fourth proportional to 187,251.57, 280,835.78 and 54,102.69 is: 81,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,251.57 : 280,835.78 = 54,102.69 : x
  2. Step 2: Convert to fraction form
    187,251.57/280,835.78 = 54,102.69/x
  3. Step 3: Cross multiply
    187,251.57x = 280,835.78 × 54,102.69
  4. Step 4: Simplify right side
    187,251.57x = 15,193,970,875.73
  5. Step 5: Solve for x
    x = 15,193,970,875.73/187,251.57
  6. Step 6: Final answer
    x = 81,142.02

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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.