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Finding the Fourth Proportional to 87,469.70, 131,215.20 and 31,315.70

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Solution

The fourth proportional to 87,469.70, 131,215.20 and 31,315.70 is: 46,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,469.70 : 131,215.20 = 31,315.70 : x
  2. Step 2: Convert to fraction form
    87,469.70/131,215.20 = 31,315.70/x
  3. Step 3: Cross multiply
    87,469.70x = 131,215.20 × 31,315.70
  4. Step 4: Simplify right side
    87,469.70x = 4,109,095,838.64
  5. Step 5: Solve for x
    x = 4,109,095,838.64/87,469.70
  6. Step 6: Final answer
    x = 46,977.36

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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.