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Finding the Fourth Proportional to 81,898.90, 122,859.16 and 28,591.84

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Solution

The fourth proportional to 81,898.90, 122,859.16 and 28,591.84 is: 42,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898.90 : 122,859.16 = 28,591.84 : x
  2. Step 2: Convert to fraction form
    81,898.90/122,859.16 = 28,591.84/x
  3. Step 3: Cross multiply
    81,898.90x = 122,859.16 × 28,591.84
  4. Step 4: Simplify right side
    81,898.90x = 3,512,769,445.25
  5. Step 5: Solve for x
    x = 3,512,769,445.25/81,898.90
  6. Step 6: Final answer
    x = 42,891.53

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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.