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Finding the Fourth Proportional to 84,028.17, 125,911 and 71,496.66

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Solution

The fourth proportional to 84,028.17, 125,911 and 71,496.66 is: 107,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,028.17 : 125,911 = 71,496.66 : x
  2. Step 2: Convert to fraction form
    84,028.17/125,911 = 71,496.66/x
  3. Step 3: Cross multiply
    84,028.17x = 125,911 × 71,496.66
  4. Step 4: Simplify right side
    84,028.17x = 9,002,215,957.26
  5. Step 5: Solve for x
    x = 9,002,215,957.26/84,028.17
  6. Step 6: Final answer
    x = 107,133.31

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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.