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Finding the Fourth Proportional to 208,620.78, 287,896.82 and 113,127.46

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Solution

The fourth proportional to 208,620.78, 287,896.82 and 113,127.46 is: 156,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,620.78 : 287,896.82 = 113,127.46 : x
  2. Step 2: Convert to fraction form
    208,620.78/287,896.82 = 113,127.46/x
  3. Step 3: Cross multiply
    208,620.78x = 287,896.82 × 113,127.46
  4. Step 4: Simplify right side
    208,620.78x = 32,569,035,988.68
  5. Step 5: Solve for x
    x = 32,569,035,988.68/208,620.78
  6. Step 6: Final answer
    x = 156,115.97

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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.