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Finding the Fourth Proportional to 206,998.51, 310,497.76 and 66,757.13

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Solution

The fourth proportional to 206,998.51, 310,497.76 and 66,757.13 is: 100,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998.51 : 310,497.76 = 66,757.13 : x
  2. Step 2: Convert to fraction form
    206,998.51/310,497.76 = 66,757.13/x
  3. Step 3: Cross multiply
    206,998.51x = 310,497.76 × 66,757.13
  4. Step 4: Simplify right side
    206,998.51x = 20,727,939,329.03
  5. Step 5: Solve for x
    x = 20,727,939,329.03/206,998.51
  6. Step 6: Final answer
    x = 100,135.70

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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.