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Finding the Fourth Proportional to 201,796.40, 302,694.60 and 83,428.40

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Solution

The fourth proportional to 201,796.40, 302,694.60 and 83,428.40 is: 125,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.40 : 302,694.60 = 83,428.40 : x
  2. Step 2: Convert to fraction form
    201,796.40/302,694.60 = 83,428.40/x
  3. Step 3: Cross multiply
    201,796.40x = 302,694.60 × 83,428.40
  4. Step 4: Simplify right side
    201,796.40x = 25,253,326,166.64
  5. Step 5: Solve for x
    x = 25,253,326,166.64/201,796.40
  6. Step 6: Final answer
    x = 125,142.60

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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.