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Finding the Fourth Proportional to 204,894, 307,479.78 and 71,775.36

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Solution

The fourth proportional to 204,894, 307,479.78 and 71,775.36 is: 107,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894 : 307,479.78 = 71,775.36 : x
  2. Step 2: Convert to fraction form
    204,894/307,479.78 = 71,775.36/x
  3. Step 3: Cross multiply
    204,894x = 307,479.78 × 71,775.36
  4. Step 4: Simplify right side
    204,894x = 22,069,471,902.22
  5. Step 5: Solve for x
    x = 22,069,471,902.22/204,894
  6. Step 6: Final answer
    x = 107,711.66

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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.