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Finding the Fourth Proportional to 54,541.80, 81,812.70 and 48,418.20

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Solution

The fourth proportional to 54,541.80, 81,812.70 and 48,418.20 is: 72,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,541.80 : 81,812.70 = 48,418.20 : x
  2. Step 2: Convert to fraction form
    54,541.80/81,812.70 = 48,418.20/x
  3. Step 3: Cross multiply
    54,541.80x = 81,812.70 × 48,418.20
  4. Step 4: Simplify right side
    54,541.80x = 3,961,223,671.14
  5. Step 5: Solve for x
    x = 3,961,223,671.14/54,541.80
  6. Step 6: Final answer
    x = 72,627.30

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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.