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Finding the Fourth Proportional to 201,352.57, 277,871.81 and 109,478.04

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Solution

The fourth proportional to 201,352.57, 277,871.81 and 109,478.04 is: 151,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.57 : 277,871.81 = 109,478.04 : x
  2. Step 2: Convert to fraction form
    201,352.57/277,871.81 = 109,478.04/x
  3. Step 3: Cross multiply
    201,352.57x = 277,871.81 × 109,478.04
  4. Step 4: Simplify right side
    201,352.57x = 30,420,861,130.05
  5. Step 5: Solve for x
    x = 30,420,861,130.05/201,352.57
  6. Step 6: Final answer
    x = 151,082.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.