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Finding the Fourth Proportional to 206,908.10, 310,362.15 and 122,927.30

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Solution

The fourth proportional to 206,908.10, 310,362.15 and 122,927.30 is: 184,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,908.10 : 310,362.15 = 122,927.30 : x
  2. Step 2: Convert to fraction form
    206,908.10/310,362.15 = 122,927.30/x
  3. Step 3: Cross multiply
    206,908.10x = 310,362.15 × 122,927.30
  4. Step 4: Simplify right side
    206,908.10x = 38,151,981,121.70
  5. Step 5: Solve for x
    x = 38,151,981,121.70/206,908.10
  6. Step 6: Final answer
    x = 184,390.95

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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.