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Finding the Fourth Proportional to 54,783.20, 82,207.20 and 19,718.30

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Solution

The fourth proportional to 54,783.20, 82,207.20 and 19,718.30 is: 29,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,783.20 : 82,207.20 = 19,718.30 : x
  2. Step 2: Convert to fraction form
    54,783.20/82,207.20 = 19,718.30/x
  3. Step 3: Cross multiply
    54,783.20x = 82,207.20 × 19,718.30
  4. Step 4: Simplify right side
    54,783.20x = 1,620,986,231.76
  5. Step 5: Solve for x
    x = 1,620,986,231.76/54,783.20
  6. Step 6: Final answer
    x = 29,589.11

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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.