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Finding the Fourth Proportional to 80,842.59, 121,315.77 and 54,218.64

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Solution

The fourth proportional to 80,842.59, 121,315.77 and 54,218.64 is: 81,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,842.59 : 121,315.77 = 54,218.64 : x
  2. Step 2: Convert to fraction form
    80,842.59/121,315.77 = 54,218.64/x
  3. Step 3: Cross multiply
    80,842.59x = 121,315.77 × 54,218.64
  4. Step 4: Simplify right side
    80,842.59x = 6,577,576,059.95
  5. Step 5: Solve for x
    x = 6,577,576,059.95/80,842.59
  6. Step 6: Final answer
    x = 81,362.76

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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.