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Finding the Fourth Proportional to 208,839.14, 288,198.27 and 113,345.82

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Solution

The fourth proportional to 208,839.14, 288,198.27 and 113,345.82 is: 156,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,839.14 : 288,198.27 = 113,345.82 : x
  2. Step 2: Convert to fraction form
    208,839.14/288,198.27 = 113,345.82/x
  3. Step 3: Cross multiply
    208,839.14x = 288,198.27 × 113,345.82
  4. Step 4: Simplify right side
    208,839.14x = 32,666,069,235.73
  5. Step 5: Solve for x
    x = 32,666,069,235.73/208,839.14
  6. Step 6: Final answer
    x = 156,417.37

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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.