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Finding the Fourth Proportional to 201,765.40, 302,648.10 and 130,906.60

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Solution

The fourth proportional to 201,765.40, 302,648.10 and 130,906.60 is: 196,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.40 : 302,648.10 = 130,906.60 : x
  2. Step 2: Convert to fraction form
    201,765.40/302,648.10 = 130,906.60/x
  3. Step 3: Cross multiply
    201,765.40x = 302,648.10 × 130,906.60
  4. Step 4: Simplify right side
    201,765.40x = 39,618,633,767.46
  5. Step 5: Solve for x
    x = 39,618,633,767.46/201,765.40
  6. Step 6: Final answer
    x = 196,359.90

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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.