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Finding the Fourth Proportional to 57,726.80, 86,517.30 and 28,080.80

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Solution

The fourth proportional to 57,726.80, 86,517.30 and 28,080.80 is: 42,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726.80 : 86,517.30 = 28,080.80 : x
  2. Step 2: Convert to fraction form
    57,726.80/86,517.30 = 28,080.80/x
  3. Step 3: Cross multiply
    57,726.80x = 86,517.30 × 28,080.80
  4. Step 4: Simplify right side
    57,726.80x = 2,429,474,997.84
  5. Step 5: Solve for x
    x = 2,429,474,997.84/57,726.80
  6. Step 6: Final answer
    x = 42,085.74

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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.