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Finding the Fourth Proportional to 201,863.67, 278,578.16 and 115,838.40

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Solution

The fourth proportional to 201,863.67, 278,578.16 and 115,838.40 is: 159,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,863.67 : 278,578.16 = 115,838.40 : x
  2. Step 2: Convert to fraction form
    201,863.67/278,578.16 = 115,838.40/x
  3. Step 3: Cross multiply
    201,863.67x = 278,578.16 × 115,838.40
  4. Step 4: Simplify right side
    201,863.67x = 32,270,048,272.49
  5. Step 5: Solve for x
    x = 32,270,048,272.49/201,863.67
  6. Step 6: Final answer
    x = 159,860.61

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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.