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Finding the Fourth Proportional to 201,198.30, 301,688.10 and 82,881.60

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Solution

The fourth proportional to 201,198.30, 301,688.10 and 82,881.60 is: 124,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,198.30 : 301,688.10 = 82,881.60 : x
  2. Step 2: Convert to fraction form
    201,198.30/301,688.10 = 82,881.60/x
  3. Step 3: Cross multiply
    201,198.30x = 301,688.10 × 82,881.60
  4. Step 4: Simplify right side
    201,198.30x = 25,004,392,428.96
  5. Step 5: Solve for x
    x = 25,004,392,428.96/201,198.30
  6. Step 6: Final answer
    x = 124,277.35

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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.