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Finding the Fourth Proportional to 81,274.86, 121,879.89 and 31,327.26

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Solution

The fourth proportional to 81,274.86, 121,879.89 and 31,327.26 is: 46,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,274.86 : 121,879.89 = 31,327.26 : x
  2. Step 2: Convert to fraction form
    81,274.86/121,879.89 = 31,327.26/x
  3. Step 3: Cross multiply
    81,274.86x = 121,879.89 × 31,327.26
  4. Step 4: Simplify right side
    81,274.86x = 3,818,163,002.80
  5. Step 5: Solve for x
    x = 3,818,163,002.80/81,274.86
  6. Step 6: Final answer
    x = 46,978.40

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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.