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Finding the Fourth Proportional to 208,866.45, 288,227.97 and 113,371.11

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Solution

The fourth proportional to 208,866.45, 288,227.97 and 113,371.11 is: 156,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,866.45 : 288,227.97 = 113,371.11 : x
  2. Step 2: Convert to fraction form
    208,866.45/288,227.97 = 113,371.11/x
  3. Step 3: Cross multiply
    208,866.45x = 288,227.97 × 113,371.11
  4. Step 4: Simplify right side
    208,866.45x = 32,676,724,891.95
  5. Step 5: Solve for x
    x = 32,676,724,891.95/208,866.45
  6. Step 6: Final answer
    x = 156,447.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.