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Finding the Fourth Proportional to 77,761.70, 116,687.93 and 32,780.33

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Solution

The fourth proportional to 77,761.70, 116,687.93 and 32,780.33 is: 49,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761.70 : 116,687.93 = 32,780.33 : x
  2. Step 2: Convert to fraction form
    77,761.70/116,687.93 = 32,780.33/x
  3. Step 3: Cross multiply
    77,761.70x = 116,687.93 × 32,780.33
  4. Step 4: Simplify right side
    77,761.70x = 3,825,068,542.66
  5. Step 5: Solve for x
    x = 3,825,068,542.66/77,761.70
  6. Step 6: Final answer
    x = 49,189.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.