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Finding the Fourth Proportional to 81,318.89, 121,978.34 and 22,154.87

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Solution

The fourth proportional to 81,318.89, 121,978.34 and 22,154.87 is: 33,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,318.89 : 121,978.34 = 22,154.87 : x
  2. Step 2: Convert to fraction form
    81,318.89/121,978.34 = 22,154.87/x
  3. Step 3: Cross multiply
    81,318.89x = 121,978.34 × 22,154.87
  4. Step 4: Simplify right side
    81,318.89x = 2,702,413,544.85
  5. Step 5: Solve for x
    x = 2,702,413,544.85/81,318.89
  6. Step 6: Final answer
    x = 33,232.30

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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.