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Finding the Fourth Proportional to 53,876.48, 80,778.27 and 18,797

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Solution

The fourth proportional to 53,876.48, 80,778.27 and 18,797 is: 28,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876.48 : 80,778.27 = 18,797 : x
  2. Step 2: Convert to fraction form
    53,876.48/80,778.27 = 18,797/x
  3. Step 3: Cross multiply
    53,876.48x = 80,778.27 × 18,797
  4. Step 4: Simplify right side
    53,876.48x = 1,518,389,141.19
  5. Step 5: Solve for x
    x = 1,518,389,141.19/53,876.48
  6. Step 6: Final answer
    x = 28,182.78

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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.