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Finding the Fourth Proportional to 201,313.10, 302,006.10 and 101,221.40

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Solution

The fourth proportional to 201,313.10, 302,006.10 and 101,221.40 is: 151,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313.10 : 302,006.10 = 101,221.40 : x
  2. Step 2: Convert to fraction form
    201,313.10/302,006.10 = 101,221.40/x
  3. Step 3: Cross multiply
    201,313.10x = 302,006.10 × 101,221.40
  4. Step 4: Simplify right side
    201,313.10x = 30,569,480,250.54
  5. Step 5: Solve for x
    x = 30,569,480,250.54/201,313.10
  6. Step 6: Final answer
    x = 151,850.43

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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.