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Finding the Fourth Proportional to 81,171.86, 121,728.59 and 47,449.40

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Solution

The fourth proportional to 81,171.86, 121,728.59 and 47,449.40 is: 71,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,171.86 : 121,728.59 = 47,449.40 : x
  2. Step 2: Convert to fraction form
    81,171.86/121,728.59 = 47,449.40/x
  3. Step 3: Cross multiply
    81,171.86x = 121,728.59 × 47,449.40
  4. Step 4: Simplify right side
    81,171.86x = 5,775,947,890.39
  5. Step 5: Solve for x
    x = 5,775,947,890.39/81,171.86
  6. Step 6: Final answer
    x = 71,157.03

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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.