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Finding the Fourth Proportional to 83,143, 124,715.58 and 27,739

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Solution

The fourth proportional to 83,143, 124,715.58 and 27,739 is: 41,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143 : 124,715.58 = 27,739 : x
  2. Step 2: Convert to fraction form
    83,143/124,715.58 = 27,739/x
  3. Step 3: Cross multiply
    83,143x = 124,715.58 × 27,739
  4. Step 4: Simplify right side
    83,143x = 3,459,485,473.62
  5. Step 5: Solve for x
    x = 3,459,485,473.62/83,143
  6. Step 6: Final answer
    x = 41,608.86

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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.