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Finding the Fourth Proportional to 82,507.75, 123,741.80 and 38,091.83

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Solution

The fourth proportional to 82,507.75, 123,741.80 and 38,091.83 is: 57,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.75 : 123,741.80 = 38,091.83 : x
  2. Step 2: Convert to fraction form
    82,507.75/123,741.80 = 38,091.83/x
  3. Step 3: Cross multiply
    82,507.75x = 123,741.80 × 38,091.83
  4. Step 4: Simplify right side
    82,507.75x = 4,713,551,609.49
  5. Step 5: Solve for x
    x = 4,713,551,609.49/82,507.75
  6. Step 6: Final answer
    x = 57,128.59

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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.