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Finding the Fourth Proportional to 201,151.10, 301,921.05 and 101,423.90

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Solution

The fourth proportional to 201,151.10, 301,921.05 and 101,423.90 is: 152,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151.10 : 301,921.05 = 101,423.90 : x
  2. Step 2: Convert to fraction form
    201,151.10/301,921.05 = 101,423.90/x
  3. Step 3: Cross multiply
    201,151.10x = 301,921.05 × 101,423.90
  4. Step 4: Simplify right side
    201,151.10x = 30,622,010,383.10
  5. Step 5: Solve for x
    x = 30,622,010,383.10/201,151.10
  6. Step 6: Final answer
    x = 152,233.87

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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.