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Finding the Fourth Proportional to 53,728, 80,592 and 20,896

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Solution

The fourth proportional to 53,728, 80,592 and 20,896 is: 31,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728 : 80,592 = 20,896 : x
  2. Step 2: Convert to fraction form
    53,728/80,592 = 20,896/x
  3. Step 3: Cross multiply
    53,728x = 80,592 × 20,896
  4. Step 4: Simplify right side
    53,728x = 1,684,050,432
  5. Step 5: Solve for x
    x = 1,684,050,432/53,728
  6. Step 6: Final answer
    x = 31,344

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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.