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Finding the Fourth Proportional to 206,534.52, 309,804.84 and 80,182.08

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Solution

The fourth proportional to 206,534.52, 309,804.84 and 80,182.08 is: 120,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,534.52 : 309,804.84 = 80,182.08 : x
  2. Step 2: Convert to fraction form
    206,534.52/309,804.84 = 80,182.08/x
  3. Step 3: Cross multiply
    206,534.52x = 309,804.84 × 80,182.08
  4. Step 4: Simplify right side
    206,534.52x = 24,840,796,465.27
  5. Step 5: Solve for x
    x = 24,840,796,465.27/206,534.52
  6. Step 6: Final answer
    x = 120,274.31

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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.