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Finding the Fourth Proportional to 112,164.78, 154,786.68 and 61,863.78

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Solution

The fourth proportional to 112,164.78, 154,786.68 and 61,863.78 is: 85,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,164.78 : 154,786.68 = 61,863.78 : x
  2. Step 2: Convert to fraction form
    112,164.78/154,786.68 = 61,863.78/x
  3. Step 3: Cross multiply
    112,164.78x = 154,786.68 × 61,863.78
  4. Step 4: Simplify right side
    112,164.78x = 9,575,689,118.45
  5. Step 5: Solve for x
    x = 9,575,689,118.45/112,164.78
  6. Step 6: Final answer
    x = 85,371.62

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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.