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Finding the Fourth Proportional to 208,689.78, 287,992.40 and 113,196.48

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Solution

The fourth proportional to 208,689.78, 287,992.40 and 113,196.48 is: 156,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,689.78 : 287,992.40 = 113,196.48 : x
  2. Step 2: Convert to fraction form
    208,689.78/287,992.40 = 113,196.48/x
  3. Step 3: Cross multiply
    208,689.78x = 287,992.40 × 113,196.48
  4. Step 4: Simplify right side
    208,689.78x = 32,599,725,380.77
  5. Step 5: Solve for x
    x = 32,599,725,380.77/208,689.78
  6. Step 6: Final answer
    x = 156,211.41

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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.