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Finding the Fourth Proportional to 90,240, 135,360 and 24,576

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Solution

The fourth proportional to 90,240, 135,360 and 24,576 is: 36,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,240 : 135,360 = 24,576 : x
  2. Step 2: Convert to fraction form
    90,240/135,360 = 24,576/x
  3. Step 3: Cross multiply
    90,240x = 135,360 × 24,576
  4. Step 4: Simplify right side
    90,240x = 3,326,607,360
  5. Step 5: Solve for x
    x = 3,326,607,360/90,240
  6. Step 6: Final answer
    x = 36,864

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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.