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Finding the Fourth Proportional to 47,940.80, 71,943.20 and 16,776

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Solution

The fourth proportional to 47,940.80, 71,943.20 and 16,776 is: 25,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940.80 : 71,943.20 = 16,776 : x
  2. Step 2: Convert to fraction form
    47,940.80/71,943.20 = 16,776/x
  3. Step 3: Cross multiply
    47,940.80x = 71,943.20 × 16,776
  4. Step 4: Simplify right side
    47,940.80x = 1,206,919,123.20
  5. Step 5: Solve for x
    x = 1,206,919,123.20/47,940.80
  6. Step 6: Final answer
    x = 25,175.20

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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.