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Finding the Fourth Proportional to 86,476, 129,714 and 20,812

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Solution

The fourth proportional to 86,476, 129,714 and 20,812 is: 31,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,476 : 129,714 = 20,812 : x
  2. Step 2: Convert to fraction form
    86,476/129,714 = 20,812/x
  3. Step 3: Cross multiply
    86,476x = 129,714 × 20,812
  4. Step 4: Simplify right side
    86,476x = 2,699,607,768
  5. Step 5: Solve for x
    x = 2,699,607,768/86,476
  6. Step 6: Final answer
    x = 31,218

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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.