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Finding the Fourth Proportional to 83,186.64, 124,811 and 49,930.64

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Solution

The fourth proportional to 83,186.64, 124,811 and 49,930.64 is: 74,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186.64 : 124,811 = 49,930.64 : x
  2. Step 2: Convert to fraction form
    83,186.64/124,811 = 49,930.64/x
  3. Step 3: Cross multiply
    83,186.64x = 124,811 × 49,930.64
  4. Step 4: Simplify right side
    83,186.64x = 6,231,893,109.04
  5. Step 5: Solve for x
    x = 6,231,893,109.04/83,186.64
  6. Step 6: Final answer
    x = 74,914.59

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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.