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Finding the Fourth Proportional to 65,982.80, 98,860.80 and 30,850.40

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Solution

The fourth proportional to 65,982.80, 98,860.80 and 30,850.40 is: 46,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,982.80 : 98,860.80 = 30,850.40 : x
  2. Step 2: Convert to fraction form
    65,982.80/98,860.80 = 30,850.40/x
  3. Step 3: Cross multiply
    65,982.80x = 98,860.80 × 30,850.40
  4. Step 4: Simplify right side
    65,982.80x = 3,049,895,224.32
  5. Step 5: Solve for x
    x = 3,049,895,224.32/65,982.80
  6. Step 6: Final answer
    x = 46,222.58

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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.