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Finding the Fourth Proportional to 206,761.32, 309,986.28 and 105,574.32

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Solution

The fourth proportional to 206,761.32, 309,986.28 and 105,574.32 is: 158,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,761.32 : 309,986.28 = 105,574.32 : x
  2. Step 2: Convert to fraction form
    206,761.32/309,986.28 = 105,574.32/x
  3. Step 3: Cross multiply
    206,761.32x = 309,986.28 × 105,574.32
  4. Step 4: Simplify right side
    206,761.32x = 32,726,590,720.33
  5. Step 5: Solve for x
    x = 32,726,590,720.33/206,761.32
  6. Step 6: Final answer
    x = 158,281.98

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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.