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Finding the Fourth Proportional to 53,381, 80,075.82 and 16,445

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Solution

The fourth proportional to 53,381, 80,075.82 and 16,445 is: 24,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,381 : 80,075.82 = 16,445 : x
  2. Step 2: Convert to fraction form
    53,381/80,075.82 = 16,445/x
  3. Step 3: Cross multiply
    53,381x = 80,075.82 × 16,445
  4. Step 4: Simplify right side
    53,381x = 1,316,846,859.90
  5. Step 5: Solve for x
    x = 1,316,846,859.90/53,381
  6. Step 6: Final answer
    x = 24,668.83

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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.