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Finding the Fourth Proportional to 187,156.48, 280,472.32 and 81,756.16

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Solution

The fourth proportional to 187,156.48, 280,472.32 and 81,756.16 is: 122,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,156.48 : 280,472.32 = 81,756.16 : x
  2. Step 2: Convert to fraction form
    187,156.48/280,472.32 = 81,756.16/x
  3. Step 3: Cross multiply
    187,156.48x = 280,472.32 × 81,756.16
  4. Step 4: Simplify right side
    187,156.48x = 22,930,339,869.49
  5. Step 5: Solve for x
    x = 22,930,339,869.49/187,156.48
  6. Step 6: Final answer
    x = 122,519.61

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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.