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Finding the Fourth Proportional to 87,309.70, 131,022.15 and 31,905.70

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Solution

The fourth proportional to 87,309.70, 131,022.15 and 31,905.70 is: 47,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,309.70 : 131,022.15 = 31,905.70 : x
  2. Step 2: Convert to fraction form
    87,309.70/131,022.15 = 31,905.70/x
  3. Step 3: Cross multiply
    87,309.70x = 131,022.15 × 31,905.70
  4. Step 4: Simplify right side
    87,309.70x = 4,180,353,411.26
  5. Step 5: Solve for x
    x = 4,180,353,411.26/87,309.70
  6. Step 6: Final answer
    x = 47,879.60

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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.