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Finding the Fourth Proportional to 84,085.53, 115,917.46 and 66,149.39

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Solution

The fourth proportional to 84,085.53, 115,917.46 and 66,149.39 is: 91,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,085.53 : 115,917.46 = 66,149.39 : x
  2. Step 2: Convert to fraction form
    84,085.53/115,917.46 = 66,149.39/x
  3. Step 3: Cross multiply
    84,085.53x = 115,917.46 × 66,149.39
  4. Step 4: Simplify right side
    84,085.53x = 7,667,869,269.35
  5. Step 5: Solve for x
    x = 7,667,869,269.35/84,085.53
  6. Step 6: Final answer
    x = 91,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.