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Finding the Fourth Proportional to 83,858.87, 115,728.10 and 48,055.79

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Solution

The fourth proportional to 83,858.87, 115,728.10 and 48,055.79 is: 66,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858.87 : 115,728.10 = 48,055.79 : x
  2. Step 2: Convert to fraction form
    83,858.87/115,728.10 = 48,055.79/x
  3. Step 3: Cross multiply
    83,858.87x = 115,728.10 × 48,055.79
  4. Step 4: Simplify right side
    83,858.87x = 5,561,405,439.88
  5. Step 5: Solve for x
    x = 5,561,405,439.88/83,858.87
  6. Step 6: Final answer
    x = 66,318.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.