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Finding the Fourth Proportional to 87,213, 130,839 and 31,809

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Solution

The fourth proportional to 87,213, 130,839 and 31,809 is: 47,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,213 : 130,839 = 31,809 : x
  2. Step 2: Convert to fraction form
    87,213/130,839 = 31,809/x
  3. Step 3: Cross multiply
    87,213x = 130,839 × 31,809
  4. Step 4: Simplify right side
    87,213x = 4,161,857,751
  5. Step 5: Solve for x
    x = 4,161,857,751/87,213
  6. Step 6: Final answer
    x = 47,720.61

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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.