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Finding the Fourth Proportional to 86,502, 129,753.12 and 20,838

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Solution

The fourth proportional to 86,502, 129,753.12 and 20,838 is: 31,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,502 : 129,753.12 = 20,838 : x
  2. Step 2: Convert to fraction form
    86,502/129,753.12 = 20,838/x
  3. Step 3: Cross multiply
    86,502x = 129,753.12 × 20,838
  4. Step 4: Simplify right side
    86,502x = 2,703,795,514.56
  5. Step 5: Solve for x
    x = 2,703,795,514.56/86,502
  6. Step 6: Final answer
    x = 31,257.03

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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.