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Finding the Fourth Proportional to 201,583.52, 302,313.78 and 68,434.20

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Solution

The fourth proportional to 201,583.52, 302,313.78 and 68,434.20 is: 102,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583.52 : 302,313.78 = 68,434.20 : x
  2. Step 2: Convert to fraction form
    201,583.52/302,313.78 = 68,434.20/x
  3. Step 3: Cross multiply
    201,583.52x = 302,313.78 × 68,434.20
  4. Step 4: Simplify right side
    201,583.52x = 20,688,601,683.28
  5. Step 5: Solve for x
    x = 20,688,601,683.28/201,583.52
  6. Step 6: Final answer
    x = 102,630.42

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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.