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Finding the Fourth Proportional to 109,902.80, 164,659.80 and 102,904.40

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Solution

The fourth proportional to 109,902.80, 164,659.80 and 102,904.40 is: 154,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.80 : 164,659.80 = 102,904.40 : x
  2. Step 2: Convert to fraction form
    109,902.80/164,659.80 = 102,904.40/x
  3. Step 3: Cross multiply
    109,902.80x = 164,659.80 × 102,904.40
  4. Step 4: Simplify right side
    109,902.80x = 16,944,217,923.12
  5. Step 5: Solve for x
    x = 16,944,217,923.12/109,902.80
  6. Step 6: Final answer
    x = 154,174.58

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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.