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Finding the Fourth Proportional to 135,360, 203,040 and 36,864

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Solution

The fourth proportional to 135,360, 203,040 and 36,864 is: 55,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,360 : 203,040 = 36,864 : x
  2. Step 2: Convert to fraction form
    135,360/203,040 = 36,864/x
  3. Step 3: Cross multiply
    135,360x = 203,040 × 36,864
  4. Step 4: Simplify right side
    135,360x = 7,484,866,560
  5. Step 5: Solve for x
    x = 7,484,866,560/135,360
  6. Step 6: Final answer
    x = 55,296

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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.