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Finding the Fourth Proportional to 121,105.75, 181,687.80 and 37,999.75

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Solution

The fourth proportional to 121,105.75, 181,687.80 and 37,999.75 is: 57,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,105.75 : 181,687.80 = 37,999.75 : x
  2. Step 2: Convert to fraction form
    121,105.75/181,687.80 = 37,999.75/x
  3. Step 3: Cross multiply
    121,105.75x = 181,687.80 × 37,999.75
  4. Step 4: Simplify right side
    121,105.75x = 6,904,090,978.05
  5. Step 5: Solve for x
    x = 6,904,090,978.05/121,105.75
  6. Step 6: Final answer
    x = 57,008.78

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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.