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Finding the Fourth Proportional to 201,200.80, 301,691.85 and 82,884.10

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Solution

The fourth proportional to 201,200.80, 301,691.85 and 82,884.10 is: 124,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.80 : 301,691.85 = 82,884.10 : x
  2. Step 2: Convert to fraction form
    201,200.80/301,691.85 = 82,884.10/x
  3. Step 3: Cross multiply
    201,200.80x = 301,691.85 × 82,884.10
  4. Step 4: Simplify right side
    201,200.80x = 25,005,457,464.59
  5. Step 5: Solve for x
    x = 25,005,457,464.59/201,200.80
  6. Step 6: Final answer
    x = 124,281.10

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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.