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Finding the Fourth Proportional to 83,584.87, 125,376.88 and 20,405.33

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Solution

The fourth proportional to 83,584.87, 125,376.88 and 20,405.33 is: 30,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,584.87 : 125,376.88 = 20,405.33 : x
  2. Step 2: Convert to fraction form
    83,584.87/125,376.88 = 20,405.33/x
  3. Step 3: Cross multiply
    83,584.87x = 125,376.88 × 20,405.33
  4. Step 4: Simplify right side
    83,584.87x = 2,558,356,610.77
  5. Step 5: Solve for x
    x = 2,558,356,610.77/83,584.87
  6. Step 6: Final answer
    x = 30,607.89

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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.