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Finding the Fourth Proportional to 121,092.86, 181,630.08 and 53,645.78

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Solution

The fourth proportional to 121,092.86, 181,630.08 and 53,645.78 is: 80,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,092.86 : 181,630.08 = 53,645.78 : x
  2. Step 2: Convert to fraction form
    121,092.86/181,630.08 = 53,645.78/x
  3. Step 3: Cross multiply
    121,092.86x = 181,630.08 × 53,645.78
  4. Step 4: Simplify right side
    121,092.86x = 9,743,687,313.06
  5. Step 5: Solve for x
    x = 9,743,687,313.06/121,092.86
  6. Step 6: Final answer
    x = 80,464.59

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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.