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Finding the Fourth Proportional to 86,612, 129,918.12 and 20,948

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Solution

The fourth proportional to 86,612, 129,918.12 and 20,948 is: 31,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,612 : 129,918.12 = 20,948 : x
  2. Step 2: Convert to fraction form
    86,612/129,918.12 = 20,948/x
  3. Step 3: Cross multiply
    86,612x = 129,918.12 × 20,948
  4. Step 4: Simplify right side
    86,612x = 2,721,524,777.76
  5. Step 5: Solve for x
    x = 2,721,524,777.76/86,612
  6. Step 6: Final answer
    x = 31,422.03

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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.