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Finding the Fourth Proportional to 87,403.84, 131,086.78 and 31,247.84

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Solution

The fourth proportional to 87,403.84, 131,086.78 and 31,247.84 is: 46,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,403.84 : 131,086.78 = 31,247.84 : x
  2. Step 2: Convert to fraction form
    87,403.84/131,086.78 = 31,247.84/x
  3. Step 3: Cross multiply
    87,403.84x = 131,086.78 × 31,247.84
  4. Step 4: Simplify right side
    87,403.84x = 4,096,178,977.15
  5. Step 5: Solve for x
    x = 4,096,178,977.15/87,403.84
  6. Step 6: Final answer
    x = 46,864.98

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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.