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Finding the Fourth Proportional to 115,771.30, 159,772.97 and 64,789.13

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Solution

The fourth proportional to 115,771.30, 159,772.97 and 64,789.13 is: 89,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,771.30 : 159,772.97 = 64,789.13 : x
  2. Step 2: Convert to fraction form
    115,771.30/159,772.97 = 64,789.13/x
  3. Step 3: Cross multiply
    115,771.30x = 159,772.97 × 64,789.13
  4. Step 4: Simplify right side
    115,771.30x = 10,351,552,285.22
  5. Step 5: Solve for x
    x = 10,351,552,285.22/115,771.30
  6. Step 6: Final answer
    x = 89,413.81

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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.