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Finding the Fourth Proportional to 201,936.40, 302,861.40 and 89,616.40

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Solution

The fourth proportional to 201,936.40, 302,861.40 and 89,616.40 is: 134,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,936.40 : 302,861.40 = 89,616.40 : x
  2. Step 2: Convert to fraction form
    201,936.40/302,861.40 = 89,616.40/x
  3. Step 3: Cross multiply
    201,936.40x = 302,861.40 × 89,616.40
  4. Step 4: Simplify right side
    201,936.40x = 27,141,348,366.96
  5. Step 5: Solve for x
    x = 27,141,348,366.96/201,936.40
  6. Step 6: Final answer
    x = 134,405.43

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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.