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Finding the Fourth Proportional to 81,324.40, 121,986.60 and 53,420.80

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Solution

The fourth proportional to 81,324.40, 121,986.60 and 53,420.80 is: 80,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,324.40 : 121,986.60 = 53,420.80 : x
  2. Step 2: Convert to fraction form
    81,324.40/121,986.60 = 53,420.80/x
  3. Step 3: Cross multiply
    81,324.40x = 121,986.60 × 53,420.80
  4. Step 4: Simplify right side
    81,324.40x = 6,516,621,761.28
  5. Step 5: Solve for x
    x = 6,516,621,761.28/81,324.40
  6. Step 6: Final answer
    x = 80,131.20

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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.