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Finding the Fourth Proportional to 159,761.82, 239,396.38 and 78,615.69

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Solution

The fourth proportional to 159,761.82, 239,396.38 and 78,615.69 is: 117,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,761.82 : 239,396.38 = 78,615.69 : x
  2. Step 2: Convert to fraction form
    159,761.82/239,396.38 = 78,615.69/x
  3. Step 3: Cross multiply
    159,761.82x = 239,396.38 × 78,615.69
  4. Step 4: Simplify right side
    159,761.82x = 18,820,310,203.68
  5. Step 5: Solve for x
    x = 18,820,310,203.68/159,761.82
  6. Step 6: Final answer
    x = 117,802.31

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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.