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Finding the Fourth Proportional to 201,286.60, 302,102.70 and 89,139.40

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Solution

The fourth proportional to 201,286.60, 302,102.70 and 89,139.40 is: 133,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,286.60 : 302,102.70 = 89,139.40 : x
  2. Step 2: Convert to fraction form
    201,286.60/302,102.70 = 89,139.40/x
  3. Step 3: Cross multiply
    201,286.60x = 302,102.70 × 89,139.40
  4. Step 4: Simplify right side
    201,286.60x = 26,929,253,416.38
  5. Step 5: Solve for x
    x = 26,929,253,416.38/201,286.60
  6. Step 6: Final answer
    x = 133,785.62

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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.