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Finding the Fourth Proportional to 54,005, 81,004.06 and 20,264.36

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Solution

The fourth proportional to 54,005, 81,004.06 and 20,264.36 is: 30,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,005 : 81,004.06 = 20,264.36 : x
  2. Step 2: Convert to fraction form
    54,005/81,004.06 = 20,264.36/x
  3. Step 3: Cross multiply
    54,005x = 81,004.06 × 20,264.36
  4. Step 4: Simplify right side
    54,005x = 1,641,495,433.30
  5. Step 5: Solve for x
    x = 1,641,495,433.30/54,005
  6. Step 6: Final answer
    x = 30,395.25

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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.