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Finding the Fourth Proportional to 201,898.75, 278,626.04 and 112,480.51

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Solution

The fourth proportional to 201,898.75, 278,626.04 and 112,480.51 is: 155,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.75 : 278,626.04 = 112,480.51 : x
  2. Step 2: Convert to fraction form
    201,898.75/278,626.04 = 112,480.51/x
  3. Step 3: Cross multiply
    201,898.75x = 278,626.04 × 112,480.51
  4. Step 4: Simplify right side
    201,898.75x = 31,339,999,078.48
  5. Step 5: Solve for x
    x = 31,339,999,078.48/201,898.75
  6. Step 6: Final answer
    x = 155,226.32

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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.