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Finding the Fourth Proportional to 65,535.80, 98,187.06 and 30,414.20

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Solution

The fourth proportional to 65,535.80, 98,187.06 and 30,414.20 is: 45,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,535.80 : 98,187.06 = 30,414.20 : x
  2. Step 2: Convert to fraction form
    65,535.80/98,187.06 = 30,414.20/x
  3. Step 3: Cross multiply
    65,535.80x = 98,187.06 × 30,414.20
  4. Step 4: Simplify right side
    65,535.80x = 2,986,280,880.25
  5. Step 5: Solve for x
    x = 2,986,280,880.25/65,535.80
  6. Step 6: Final answer
    x = 45,567.17

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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.