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Finding the Fourth Proportional to 206,208.66, 309,307.23 and 65,975.70

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Solution

The fourth proportional to 206,208.66, 309,307.23 and 65,975.70 is: 98,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208.66 : 309,307.23 = 65,975.70 : x
  2. Step 2: Convert to fraction form
    206,208.66/309,307.23 = 65,975.70/x
  3. Step 3: Cross multiply
    206,208.66x = 309,307.23 × 65,975.70
  4. Step 4: Simplify right side
    206,208.66x = 20,406,761,014.31
  5. Step 5: Solve for x
    x = 20,406,761,014.31/206,208.66
  6. Step 6: Final answer
    x = 98,961.71

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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.