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Finding the Fourth Proportional to 201,105.72, 301,653.95 and 101,239.11

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Solution

The fourth proportional to 201,105.72, 301,653.95 and 101,239.11 is: 151,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,105.72 : 301,653.95 = 101,239.11 : x
  2. Step 2: Convert to fraction form
    201,105.72/301,653.95 = 101,239.11/x
  3. Step 3: Cross multiply
    201,105.72x = 301,653.95 × 101,239.11
  4. Step 4: Simplify right side
    201,105.72x = 30,539,176,919.79
  5. Step 5: Solve for x
    x = 30,539,176,919.79/201,105.72
  6. Step 6: Final answer
    x = 151,856.33

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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.