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Finding the Fourth Proportional to 83,952, 125,928 and 27,777.03

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Solution

The fourth proportional to 83,952, 125,928 and 27,777.03 is: 41,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 125,928 = 27,777.03 : x
  2. Step 2: Convert to fraction form
    83,952/125,928 = 27,777.03/x
  3. Step 3: Cross multiply
    83,952x = 125,928 × 27,777.03
  4. Step 4: Simplify right side
    83,952x = 3,497,905,833.84
  5. Step 5: Solve for x
    x = 3,497,905,833.84/83,952
  6. Step 6: Final answer
    x = 41,665.55

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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.