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Finding the Fourth Proportional to 205,975, 308,964.39 and 81,316

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Solution

The fourth proportional to 205,975, 308,964.39 and 81,316 is: 121,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,975 : 308,964.39 = 81,316 : x
  2. Step 2: Convert to fraction form
    205,975/308,964.39 = 81,316/x
  3. Step 3: Cross multiply
    205,975x = 308,964.39 × 81,316
  4. Step 4: Simplify right side
    205,975x = 25,123,748,337.24
  5. Step 5: Solve for x
    x = 25,123,748,337.24/205,975
  6. Step 6: Final answer
    x = 121,974.75

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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.