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Finding the Fourth Proportional to 54,209.20, 81,205.80 and 47,714.80

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Solution

The fourth proportional to 54,209.20, 81,205.80 and 47,714.80 is: 71,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,209.20 : 81,205.80 = 47,714.80 : x
  2. Step 2: Convert to fraction form
    54,209.20/81,205.80 = 47,714.80/x
  3. Step 3: Cross multiply
    54,209.20x = 81,205.80 × 47,714.80
  4. Step 4: Simplify right side
    54,209.20x = 3,874,718,505.84
  5. Step 5: Solve for x
    x = 3,874,718,505.84/54,209.20
  6. Step 6: Final answer
    x = 71,477.14

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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.