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Finding the Fourth Proportional to 201,794.52, 278,478.36 and 111,150.87

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Solution

The fourth proportional to 201,794.52, 278,478.36 and 111,150.87 is: 153,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794.52 : 278,478.36 = 111,150.87 : x
  2. Step 2: Convert to fraction form
    201,794.52/278,478.36 = 111,150.87/x
  3. Step 3: Cross multiply
    201,794.52x = 278,478.36 × 111,150.87
  4. Step 4: Simplify right side
    201,794.52x = 30,953,111,990.17
  5. Step 5: Solve for x
    x = 30,953,111,990.17/201,794.52
  6. Step 6: Final answer
    x = 153,389.26

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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.