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Finding the Fourth Proportional to 54,878.57, 82,430.36 and 36,185.57

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Solution

The fourth proportional to 54,878.57, 82,430.36 and 36,185.57 is: 54,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.57 : 82,430.36 = 36,185.57 : x
  2. Step 2: Convert to fraction form
    54,878.57/82,430.36 = 36,185.57/x
  3. Step 3: Cross multiply
    54,878.57x = 82,430.36 × 36,185.57
  4. Step 4: Simplify right side
    54,878.57x = 2,982,789,561.91
  5. Step 5: Solve for x
    x = 2,982,789,561.91/54,878.57
  6. Step 6: Final answer
    x = 54,352.54

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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.