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Finding the Fourth Proportional to 81,111.80, 121,581.66 and 47,847.56

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Solution

The fourth proportional to 81,111.80, 121,581.66 and 47,847.56 is: 71,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,111.80 : 121,581.66 = 47,847.56 : x
  2. Step 2: Convert to fraction form
    81,111.80/121,581.66 = 47,847.56/x
  3. Step 3: Cross multiply
    81,111.80x = 121,581.66 × 47,847.56
  4. Step 4: Simplify right side
    81,111.80x = 5,817,385,771.75
  5. Step 5: Solve for x
    x = 5,817,385,771.75/81,111.80
  6. Step 6: Final answer
    x = 71,720.59

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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.