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Finding the Fourth Proportional to 201,861.52, 302,800.65 and 75,489.10

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Solution

The fourth proportional to 201,861.52, 302,800.65 and 75,489.10 is: 113,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861.52 : 302,800.65 = 75,489.10 : x
  2. Step 2: Convert to fraction form
    201,861.52/302,800.65 = 75,489.10/x
  3. Step 3: Cross multiply
    201,861.52x = 302,800.65 × 75,489.10
  4. Step 4: Simplify right side
    201,861.52x = 22,858,148,547.92
  5. Step 5: Solve for x
    x = 22,858,148,547.92/201,861.52
  6. Step 6: Final answer
    x = 113,236.78

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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.