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Finding the Fourth Proportional to 47,892.97, 71,839.47 and 19,782.13

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Solution

The fourth proportional to 47,892.97, 71,839.47 and 19,782.13 is: 29,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.97 : 71,839.47 = 19,782.13 : x
  2. Step 2: Convert to fraction form
    47,892.97/71,839.47 = 19,782.13/x
  3. Step 3: Cross multiply
    47,892.97x = 71,839.47 × 19,782.13
  4. Step 4: Simplify right side
    47,892.97x = 1,421,137,763.95
  5. Step 5: Solve for x
    x = 1,421,137,763.95/47,892.97
  6. Step 6: Final answer
    x = 29,673.20

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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.