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Finding the Fourth Proportional to 53,478, 80,221.32 and 16,542

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Solution

The fourth proportional to 53,478, 80,221.32 and 16,542 is: 24,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478 : 80,221.32 = 16,542 : x
  2. Step 2: Convert to fraction form
    53,478/80,221.32 = 16,542/x
  3. Step 3: Cross multiply
    53,478x = 80,221.32 × 16,542
  4. Step 4: Simplify right side
    53,478x = 1,327,021,075.44
  5. Step 5: Solve for x
    x = 1,327,021,075.44/53,478
  6. Step 6: Final answer
    x = 24,814.34

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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.