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Finding the Fourth Proportional to 54,206.80, 81,336.12 and 42,542.80

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Solution

The fourth proportional to 54,206.80, 81,336.12 and 42,542.80 is: 63,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206.80 : 81,336.12 = 42,542.80 : x
  2. Step 2: Convert to fraction form
    54,206.80/81,336.12 = 42,542.80/x
  3. Step 3: Cross multiply
    54,206.80x = 81,336.12 × 42,542.80
  4. Step 4: Simplify right side
    54,206.80x = 3,460,266,285.94
  5. Step 5: Solve for x
    x = 3,460,266,285.94/54,206.80
  6. Step 6: Final answer
    x = 63,834.54

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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.