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Finding the Fourth Proportional to 206,736.20, 310,104.30 and 56,976.20

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Solution

The fourth proportional to 206,736.20, 310,104.30 and 56,976.20 is: 85,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736.20 : 310,104.30 = 56,976.20 : x
  2. Step 2: Convert to fraction form
    206,736.20/310,104.30 = 56,976.20/x
  3. Step 3: Cross multiply
    206,736.20x = 310,104.30 × 56,976.20
  4. Step 4: Simplify right side
    206,736.20x = 17,668,564,617.66
  5. Step 5: Solve for x
    x = 17,668,564,617.66/206,736.20
  6. Step 6: Final answer
    x = 85,464.30

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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.