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Finding the Fourth Proportional to 206,912.20, 310,368.30 and 112,433.80

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Solution

The fourth proportional to 206,912.20, 310,368.30 and 112,433.80 is: 168,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,912.20 : 310,368.30 = 112,433.80 : x
  2. Step 2: Convert to fraction form
    206,912.20/310,368.30 = 112,433.80/x
  3. Step 3: Cross multiply
    206,912.20x = 310,368.30 × 112,433.80
  4. Step 4: Simplify right side
    206,912.20x = 34,895,887,368.54
  5. Step 5: Solve for x
    x = 34,895,887,368.54/206,912.20
  6. Step 6: Final answer
    x = 168,650.70

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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.