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Finding the Fourth Proportional to 115,813.56, 159,821.19 and 65,512.56

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Solution

The fourth proportional to 115,813.56, 159,821.19 and 65,512.56 is: 90,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,813.56 : 159,821.19 = 65,512.56 : x
  2. Step 2: Convert to fraction form
    115,813.56/159,821.19 = 65,512.56/x
  3. Step 3: Cross multiply
    115,813.56x = 159,821.19 × 65,512.56
  4. Step 4: Simplify right side
    115,813.56x = 10,470,295,299.15
  5. Step 5: Solve for x
    x = 10,470,295,299.15/115,813.56
  6. Step 6: Final answer
    x = 90,406.47

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1.5x scale

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.