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Finding the Fourth Proportional to 87,378, 131,094.84 and 31,217.04

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Solution

The fourth proportional to 87,378, 131,094.84 and 31,217.04 is: 46,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378 : 131,094.84 = 31,217.04 : x
  2. Step 2: Convert to fraction form
    87,378/131,094.84 = 31,217.04/x
  3. Step 3: Cross multiply
    87,378x = 131,094.84 × 31,217.04
  4. Step 4: Simplify right side
    87,378x = 4,092,392,864.07
  5. Step 5: Solve for x
    x = 4,092,392,864.07/87,378
  6. Step 6: Final answer
    x = 46,835.51

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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.