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Finding the Fourth Proportional to 53,903.80, 80,834.10 and 18,825.40

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Solution

The fourth proportional to 53,903.80, 80,834.10 and 18,825.40 is: 28,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.80 : 80,834.10 = 18,825.40 : x
  2. Step 2: Convert to fraction form
    53,903.80/80,834.10 = 18,825.40/x
  3. Step 3: Cross multiply
    53,903.80x = 80,834.10 × 18,825.40
  4. Step 4: Simplify right side
    53,903.80x = 1,521,734,266.14
  5. Step 5: Solve for x
    x = 1,521,734,266.14/53,903.80
  6. Step 6: Final answer
    x = 28,230.56

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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.