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Finding the Fourth Proportional to 84,021.15, 125,900.49 and 71,489.64

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Solution

The fourth proportional to 84,021.15, 125,900.49 and 71,489.64 is: 107,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,021.15 : 125,900.49 = 71,489.64 : x
  2. Step 2: Convert to fraction form
    84,021.15/125,900.49 = 71,489.64/x
  3. Step 3: Cross multiply
    84,021.15x = 125,900.49 × 71,489.64
  4. Step 4: Simplify right side
    84,021.15x = 9,000,580,705.92
  5. Step 5: Solve for x
    x = 9,000,580,705.92/84,021.15
  6. Step 6: Final answer
    x = 107,122.80

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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.