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Finding the Fourth Proportional to 201,660.78, 278,291.82 and 112,257.90

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Solution

The fourth proportional to 201,660.78, 278,291.82 and 112,257.90 is: 154,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,660.78 : 278,291.82 = 112,257.90 : x
  2. Step 2: Convert to fraction form
    201,660.78/278,291.82 = 112,257.90/x
  3. Step 3: Cross multiply
    201,660.78x = 278,291.82 × 112,257.90
  4. Step 4: Simplify right side
    201,660.78x = 31,240,455,300.38
  5. Step 5: Solve for x
    x = 31,240,455,300.38/201,660.78
  6. Step 6: Final answer
    x = 154,915.87

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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.