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Finding the Fourth Proportional to 121,296.78, 181,847.97 and 81,357.30

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Solution

The fourth proportional to 121,296.78, 181,847.97 and 81,357.30 is: 121,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,296.78 : 181,847.97 = 81,357.30 : x
  2. Step 2: Convert to fraction form
    121,296.78/181,847.97 = 81,357.30/x
  3. Step 3: Cross multiply
    121,296.78x = 181,847.97 × 81,357.30
  4. Step 4: Simplify right side
    121,296.78x = 14,794,659,849.68
  5. Step 5: Solve for x
    x = 14,794,659,849.68/121,296.78
  6. Step 6: Final answer
    x = 121,970.76

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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.