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Finding the Fourth Proportional to 77,335.89, 115,977.87 and 34,614.56

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Solution

The fourth proportional to 77,335.89, 115,977.87 and 34,614.56 is: 51,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,335.89 : 115,977.87 = 34,614.56 : x
  2. Step 2: Convert to fraction form
    77,335.89/115,977.87 = 34,614.56/x
  3. Step 3: Cross multiply
    77,335.89x = 115,977.87 × 34,614.56
  4. Step 4: Simplify right side
    77,335.89x = 4,014,522,359.90
  5. Step 5: Solve for x
    x = 4,014,522,359.90/77,335.89
  6. Step 6: Final answer
    x = 51,910.21

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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.