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Finding the Fourth Proportional to 201,919.59, 302,880.60 and 61,678.21

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Solution

The fourth proportional to 201,919.59, 302,880.60 and 61,678.21 is: 92,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.59 : 302,880.60 = 61,678.21 : x
  2. Step 2: Convert to fraction form
    201,919.59/302,880.60 = 61,678.21/x
  3. Step 3: Cross multiply
    201,919.59x = 302,880.60 × 61,678.21
  4. Step 4: Simplify right side
    201,919.59x = 18,681,133,251.73
  5. Step 5: Solve for x
    x = 18,681,133,251.73/201,919.59
  6. Step 6: Final answer
    x = 92,517.69

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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.