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Finding the Fourth Proportional to 54,906.40, 82,456.80 and 42,456.70

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Solution

The fourth proportional to 54,906.40, 82,456.80 and 42,456.70 is: 63,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.40 : 82,456.80 = 42,456.70 : x
  2. Step 2: Convert to fraction form
    54,906.40/82,456.80 = 42,456.70/x
  3. Step 3: Cross multiply
    54,906.40x = 82,456.80 × 42,456.70
  4. Step 4: Simplify right side
    54,906.40x = 3,500,843,620.56
  5. Step 5: Solve for x
    x = 3,500,843,620.56/54,906.40
  6. Step 6: Final answer
    x = 63,760.21

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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.