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Finding the Fourth Proportional to 201,132.72, 301,694.40 and 101,266.10

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Solution

The fourth proportional to 201,132.72, 301,694.40 and 101,266.10 is: 151,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132.72 : 301,694.40 = 101,266.10 : x
  2. Step 2: Convert to fraction form
    201,132.72/301,694.40 = 101,266.10/x
  3. Step 3: Cross multiply
    201,132.72x = 301,694.40 × 101,266.10
  4. Step 4: Simplify right side
    201,132.72x = 30,551,415,279.84
  5. Step 5: Solve for x
    x = 30,551,415,279.84/201,132.72
  6. Step 6: Final answer
    x = 151,896.79

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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.