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Finding the Fourth Proportional to 208,859.80, 288,227.98 and 113,366.47

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Solution

The fourth proportional to 208,859.80, 288,227.98 and 113,366.47 is: 156,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.80 : 288,227.98 = 113,366.47 : x
  2. Step 2: Convert to fraction form
    208,859.80/288,227.98 = 113,366.47/x
  3. Step 3: Cross multiply
    208,859.80x = 288,227.98 × 113,366.47
  4. Step 4: Simplify right side
    208,859.80x = 32,675,388,647.83
  5. Step 5: Solve for x
    x = 32,675,388,647.83/208,859.80
  6. Step 6: Final answer
    x = 156,446.52

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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.