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Finding the Fourth Proportional to 53,838.40, 80,761.20 and 18,299.20

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Solution

The fourth proportional to 53,838.40, 80,761.20 and 18,299.20 is: 27,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838.40 : 80,761.20 = 18,299.20 : x
  2. Step 2: Convert to fraction form
    53,838.40/80,761.20 = 18,299.20/x
  3. Step 3: Cross multiply
    53,838.40x = 80,761.20 × 18,299.20
  4. Step 4: Simplify right side
    53,838.40x = 1,477,865,351.04
  5. Step 5: Solve for x
    x = 1,477,865,351.04/53,838.40
  6. Step 6: Final answer
    x = 27,450.02

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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.