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Finding the Fourth Proportional to 201,901.72, 278,626.24 and 111,260.92

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Solution

The fourth proportional to 201,901.72, 278,626.24 and 111,260.92 is: 153,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,901.72 : 278,626.24 = 111,260.92 : x
  2. Step 2: Convert to fraction form
    201,901.72/278,626.24 = 111,260.92/x
  3. Step 3: Cross multiply
    201,901.72x = 278,626.24 × 111,260.92
  4. Step 4: Simplify right side
    201,901.72x = 31,000,212,600.30
  5. Step 5: Solve for x
    x = 31,000,212,600.30/201,901.72
  6. Step 6: Final answer
    x = 153,541.11

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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.