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Finding the Fourth Proportional to 201,794.91, 278,489.63 and 111,150.85

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Solution

The fourth proportional to 201,794.91, 278,489.63 and 111,150.85 is: 153,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794.91 : 278,489.63 = 111,150.85 : x
  2. Step 2: Convert to fraction form
    201,794.91/278,489.63 = 111,150.85/x
  3. Step 3: Cross multiply
    201,794.91x = 278,489.63 × 111,150.85
  4. Step 4: Simplify right side
    201,794.91x = 30,954,357,838.71
  5. Step 5: Solve for x
    x = 30,954,357,838.71/201,794.91
  6. Step 6: Final answer
    x = 153,395.14

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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.