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Finding the Fourth Proportional to 121,295.31, 181,978.05 and 50,204.79

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Solution

The fourth proportional to 121,295.31, 181,978.05 and 50,204.79 is: 75,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,295.31 : 181,978.05 = 50,204.79 : x
  2. Step 2: Convert to fraction form
    121,295.31/181,978.05 = 50,204.79/x
  3. Step 3: Cross multiply
    121,295.31x = 181,978.05 × 50,204.79
  4. Step 4: Simplify right side
    121,295.31x = 9,136,169,784.86
  5. Step 5: Solve for x
    x = 9,136,169,784.86/121,295.31
  6. Step 6: Final answer
    x = 75,321.71

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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.