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Finding the Fourth Proportional to 86,496, 129,744 and 20,832

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Solution

The fourth proportional to 86,496, 129,744 and 20,832 is: 31,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,496 : 129,744 = 20,832 : x
  2. Step 2: Convert to fraction form
    86,496/129,744 = 20,832/x
  3. Step 3: Cross multiply
    86,496x = 129,744 × 20,832
  4. Step 4: Simplify right side
    86,496x = 2,702,827,008
  5. Step 5: Solve for x
    x = 2,702,827,008/86,496
  6. Step 6: Final answer
    x = 31,248

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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.