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Finding the Fourth Proportional to 65,815.84, 98,726.48 and 54,800.20

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Solution

The fourth proportional to 65,815.84, 98,726.48 and 54,800.20 is: 82,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,815.84 : 98,726.48 = 54,800.20 : x
  2. Step 2: Convert to fraction form
    65,815.84/98,726.48 = 54,800.20/x
  3. Step 3: Cross multiply
    65,815.84x = 98,726.48 × 54,800.20
  4. Step 4: Simplify right side
    65,815.84x = 5,410,230,849.30
  5. Step 5: Solve for x
    x = 5,410,230,849.30/65,815.84
  6. Step 6: Final answer
    x = 82,202.56

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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.