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Finding the Fourth Proportional to 81,055.20, 121,291.20 and 54,811.20

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Solution

The fourth proportional to 81,055.20, 121,291.20 and 54,811.20 is: 82,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,055.20 : 121,291.20 = 54,811.20 : x
  2. Step 2: Convert to fraction form
    81,055.20/121,291.20 = 54,811.20/x
  3. Step 3: Cross multiply
    81,055.20x = 121,291.20 × 54,811.20
  4. Step 4: Simplify right side
    81,055.20x = 6,648,116,221.44
  5. Step 5: Solve for x
    x = 6,648,116,221.44/81,055.20
  6. Step 6: Final answer
    x = 82,019.61

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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.