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Finding the Fourth Proportional to 109,414.80, 164,143.80 and 92,005.20

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Solution

The fourth proportional to 109,414.80, 164,143.80 and 92,005.20 is: 138,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,414.80 : 164,143.80 = 92,005.20 : x
  2. Step 2: Convert to fraction form
    109,414.80/164,143.80 = 92,005.20/x
  3. Step 3: Cross multiply
    109,414.80x = 164,143.80 × 92,005.20
  4. Step 4: Simplify right side
    109,414.80x = 15,102,083,147.76
  5. Step 5: Solve for x
    x = 15,102,083,147.76/109,414.80
  6. Step 6: Final answer
    x = 138,025.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.