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Finding the Fourth Proportional to 206,200.30, 309,224.58 and 71,230.02

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Solution

The fourth proportional to 206,200.30, 309,224.58 and 71,230.02 is: 106,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,200.30 : 309,224.58 = 71,230.02 : x
  2. Step 2: Convert to fraction form
    206,200.30/309,224.58 = 71,230.02/x
  3. Step 3: Cross multiply
    206,200.30x = 309,224.58 × 71,230.02
  4. Step 4: Simplify right side
    206,200.30x = 22,026,073,017.89
  5. Step 5: Solve for x
    x = 22,026,073,017.89/206,200.30
  6. Step 6: Final answer
    x = 106,818.82

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1.5x scale

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.