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Finding the Fourth Proportional to 206,767.70, 310,205.55 and 66,529.70

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Solution

The fourth proportional to 206,767.70, 310,205.55 and 66,529.70 is: 99,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,767.70 : 310,205.55 = 66,529.70 : x
  2. Step 2: Convert to fraction form
    206,767.70/310,205.55 = 66,529.70/x
  3. Step 3: Cross multiply
    206,767.70x = 310,205.55 × 66,529.70
  4. Step 4: Simplify right side
    206,767.70x = 20,637,882,179.84
  5. Step 5: Solve for x
    x = 20,637,882,179.84/206,767.70
  6. Step 6: Final answer
    x = 99,811.93

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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.