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Finding the Fourth Proportional to 115,906.74, 159,940.54 and 65,605.74

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Solution

The fourth proportional to 115,906.74, 159,940.54 and 65,605.74 is: 90,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,906.74 : 159,940.54 = 65,605.74 : x
  2. Step 2: Convert to fraction form
    115,906.74/159,940.54 = 65,605.74/x
  3. Step 3: Cross multiply
    115,906.74x = 159,940.54 × 65,605.74
  4. Step 4: Simplify right side
    115,906.74x = 10,493,017,482.70
  5. Step 5: Solve for x
    x = 10,493,017,482.70/115,906.74
  6. Step 6: Final answer
    x = 90,529.83

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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.