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Finding the Fourth Proportional to 54,116.20, 81,135.90 and 20,823.40

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Solution

The fourth proportional to 54,116.20, 81,135.90 and 20,823.40 is: 31,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116.20 : 81,135.90 = 20,823.40 : x
  2. Step 2: Convert to fraction form
    54,116.20/81,135.90 = 20,823.40/x
  3. Step 3: Cross multiply
    54,116.20x = 81,135.90 × 20,823.40
  4. Step 4: Simplify right side
    54,116.20x = 1,689,525,300.06
  5. Step 5: Solve for x
    x = 1,689,525,300.06/54,116.20
  6. Step 6: Final answer
    x = 31,220.32

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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.