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Finding the Fourth Proportional to 206,476.68, 309,711.38 and 56,716.39

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Solution

The fourth proportional to 206,476.68, 309,711.38 and 56,716.39 is: 85,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,476.68 : 309,711.38 = 56,716.39 : x
  2. Step 2: Convert to fraction form
    206,476.68/309,711.38 = 56,716.39/x
  3. Step 3: Cross multiply
    206,476.68x = 309,711.38 × 56,716.39
  4. Step 4: Simplify right side
    206,476.68x = 17,565,711,415.52
  5. Step 5: Solve for x
    x = 17,565,711,415.52/206,476.68
  6. Step 6: Final answer
    x = 85,073.59

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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.