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Finding the Fourth Proportional to 208,513.85, 287,779.84 and 132,039.92

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Solution

The fourth proportional to 208,513.85, 287,779.84 and 132,039.92 is: 182,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,513.85 : 287,779.84 = 132,039.92 : x
  2. Step 2: Convert to fraction form
    208,513.85/287,779.84 = 132,039.92/x
  3. Step 3: Cross multiply
    208,513.85x = 287,779.84 × 132,039.92
  4. Step 4: Simplify right side
    208,513.85x = 37,998,427,440.56
  5. Step 5: Solve for x
    x = 37,998,427,440.56/208,513.85
  6. Step 6: Final answer
    x = 182,234.55

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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.