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Finding the Fourth Proportional to 83,800.40, 125,741.56 and 39,431.56

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Solution

The fourth proportional to 83,800.40, 125,741.56 and 39,431.56 is: 59,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,800.40 : 125,741.56 = 39,431.56 : x
  2. Step 2: Convert to fraction form
    83,800.40/125,741.56 = 39,431.56/x
  3. Step 3: Cross multiply
    83,800.40x = 125,741.56 × 39,431.56
  4. Step 4: Simplify right side
    83,800.40x = 4,958,185,867.63
  5. Step 5: Solve for x
    x = 4,958,185,867.63/83,800.40
  6. Step 6: Final answer
    x = 59,166.61

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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.