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Finding the Fourth Proportional to 54,578.15, 81,871.01 and 21,287.15

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Solution

The fourth proportional to 54,578.15, 81,871.01 and 21,287.15 is: 31,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578.15 : 81,871.01 = 21,287.15 : x
  2. Step 2: Convert to fraction form
    54,578.15/81,871.01 = 21,287.15/x
  3. Step 3: Cross multiply
    54,578.15x = 81,871.01 × 21,287.15
  4. Step 4: Simplify right side
    54,578.15x = 1,742,800,364.09
  5. Step 5: Solve for x
    x = 1,742,800,364.09/54,578.15
  6. Step 6: Final answer
    x = 31,932.20

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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.