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Finding the Fourth Proportional to 89,261.96, 133,573.03 and 77,295.31

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Solution

The fourth proportional to 89,261.96, 133,573.03 and 77,295.31 is: 115,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,261.96 : 133,573.03 = 77,295.31 : x
  2. Step 2: Convert to fraction form
    89,261.96/133,573.03 = 77,295.31/x
  3. Step 3: Cross multiply
    89,261.96x = 133,573.03 × 77,295.31
  4. Step 4: Simplify right side
    89,261.96x = 10,324,568,234.32
  5. Step 5: Solve for x
    x = 10,324,568,234.32/89,261.96
  6. Step 6: Final answer
    x = 115,665.94

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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.