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Finding the Fourth Proportional to 54,806.40, 82,209.60 and 40,809.60

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Solution

The fourth proportional to 54,806.40, 82,209.60 and 40,809.60 is: 61,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806.40 : 82,209.60 = 40,809.60 : x
  2. Step 2: Convert to fraction form
    54,806.40/82,209.60 = 40,809.60/x
  3. Step 3: Cross multiply
    54,806.40x = 82,209.60 × 40,809.60
  4. Step 4: Simplify right side
    54,806.40x = 3,354,940,892.16
  5. Step 5: Solve for x
    x = 3,354,940,892.16/54,806.40
  6. Step 6: Final answer
    x = 61,214.40

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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.