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Finding the Fourth Proportional to 120,795.82, 181,152.72 and 45,897.97

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Solution

The fourth proportional to 120,795.82, 181,152.72 and 45,897.97 is: 68,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,795.82 : 181,152.72 = 45,897.97 : x
  2. Step 2: Convert to fraction form
    120,795.82/181,152.72 = 45,897.97/x
  3. Step 3: Cross multiply
    120,795.82x = 181,152.72 × 45,897.97
  4. Step 4: Simplify right side
    120,795.82x = 8,314,542,107.98
  5. Step 5: Solve for x
    x = 8,314,542,107.98/120,795.82
  6. Step 6: Final answer
    x = 68,831.37

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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.