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Finding the Fourth Proportional to 105,863.57, 158,861.19 and 65,960.90

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Solution

The fourth proportional to 105,863.57, 158,861.19 and 65,960.90 is: 98,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863.57 : 158,861.19 = 65,960.90 : x
  2. Step 2: Convert to fraction form
    105,863.57/158,861.19 = 65,960.90/x
  3. Step 3: Cross multiply
    105,863.57x = 158,861.19 × 65,960.90
  4. Step 4: Simplify right side
    105,863.57x = 10,478,627,067.47
  5. Step 5: Solve for x
    x = 10,478,627,067.47/105,863.57
  6. Step 6: Final answer
    x = 98,982.37

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1.5x scale

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.