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Finding the Fourth Proportional to 206,906.10, 310,359.15 and 122,925.30

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Solution

The fourth proportional to 206,906.10, 310,359.15 and 122,925.30 is: 184,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906.10 : 310,359.15 = 122,925.30 : x
  2. Step 2: Convert to fraction form
    206,906.10/310,359.15 = 122,925.30/x
  3. Step 3: Cross multiply
    206,906.10x = 310,359.15 × 122,925.30
  4. Step 4: Simplify right side
    206,906.10x = 38,150,991,621.50
  5. Step 5: Solve for x
    x = 38,150,991,621.50/206,906.10
  6. Step 6: Final answer
    x = 184,387.95

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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.