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Finding the Fourth Proportional to 86,400, 129,600 and 20,736

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Solution

The fourth proportional to 86,400, 129,600 and 20,736 is: 31,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,400 : 129,600 = 20,736 : x
  2. Step 2: Convert to fraction form
    86,400/129,600 = 20,736/x
  3. Step 3: Cross multiply
    86,400x = 129,600 × 20,736
  4. Step 4: Simplify right side
    86,400x = 2,687,385,600
  5. Step 5: Solve for x
    x = 2,687,385,600/86,400
  6. Step 6: Final answer
    x = 31,104

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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.