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Finding the Fourth Proportional to 109,904.80, 164,662.80 and 102,906.40

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Solution

The fourth proportional to 109,904.80, 164,662.80 and 102,906.40 is: 154,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.80 : 164,662.80 = 102,906.40 : x
  2. Step 2: Convert to fraction form
    109,904.80/164,662.80 = 102,906.40/x
  3. Step 3: Cross multiply
    109,904.80x = 164,662.80 × 102,906.40
  4. Step 4: Simplify right side
    109,904.80x = 16,944,855,961.92
  5. Step 5: Solve for x
    x = 16,944,855,961.92/109,904.80
  6. Step 6: Final answer
    x = 154,177.58

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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.