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Finding the Fourth Proportional to 105,659.20, 158,634.60 and 83,497.60

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Solution

The fourth proportional to 105,659.20, 158,634.60 and 83,497.60 is: 125,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,659.20 : 158,634.60 = 83,497.60 : x
  2. Step 2: Convert to fraction form
    105,659.20/158,634.60 = 83,497.60/x
  3. Step 3: Cross multiply
    105,659.20x = 158,634.60 × 83,497.60
  4. Step 4: Simplify right side
    105,659.20x = 13,245,608,376.96
  5. Step 5: Solve for x
    x = 13,245,608,376.96/105,659.20
  6. Step 6: Final answer
    x = 125,361.62

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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.