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Finding the Fourth Proportional to 86,424, 129,636 and 20,760

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Solution

The fourth proportional to 86,424, 129,636 and 20,760 is: 31,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,424 : 129,636 = 20,760 : x
  2. Step 2: Convert to fraction form
    86,424/129,636 = 20,760/x
  3. Step 3: Cross multiply
    86,424x = 129,636 × 20,760
  4. Step 4: Simplify right side
    86,424x = 2,691,243,360
  5. Step 5: Solve for x
    x = 2,691,243,360/86,424
  6. Step 6: Final answer
    x = 31,140

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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.