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Finding the Fourth Proportional to 208,486.11, 287,711.82 and 112,992.78

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Solution

The fourth proportional to 208,486.11, 287,711.82 and 112,992.78 is: 155,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.11 : 287,711.82 = 112,992.78 : x
  2. Step 2: Convert to fraction form
    208,486.11/287,711.82 = 112,992.78/x
  3. Step 3: Cross multiply
    208,486.11x = 287,711.82 × 112,992.78
  4. Step 4: Simplify right side
    208,486.11x = 32,509,358,380.66
  5. Step 5: Solve for x
    x = 32,509,358,380.66/208,486.11
  6. Step 6: Final answer
    x = 155,930.57

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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.