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Finding the Fourth Proportional to 120,833.70, 181,261.47 and 49,739.78

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Solution

The fourth proportional to 120,833.70, 181,261.47 and 49,739.78 is: 74,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833.70 : 181,261.47 = 49,739.78 : x
  2. Step 2: Convert to fraction form
    120,833.70/181,261.47 = 49,739.78/x
  3. Step 3: Cross multiply
    120,833.70x = 181,261.47 × 49,739.78
  4. Step 4: Simplify right side
    120,833.70x = 9,015,905,640.28
  5. Step 5: Solve for x
    x = 9,015,905,640.28/120,833.70
  6. Step 6: Final answer
    x = 74,614.17

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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.