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Finding the Fourth Proportional to 54,878.52, 82,316.13 and 21,574.56

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Solution

The fourth proportional to 54,878.52, 82,316.13 and 21,574.56 is: 32,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.52 : 82,316.13 = 21,574.56 : x
  2. Step 2: Convert to fraction form
    54,878.52/82,316.13 = 21,574.56/x
  3. Step 3: Cross multiply
    54,878.52x = 82,316.13 × 21,574.56
  4. Step 4: Simplify right side
    54,878.52x = 1,775,934,285.65
  5. Step 5: Solve for x
    x = 1,775,934,285.65/54,878.52
  6. Step 6: Final answer
    x = 32,361.19

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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.