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Finding the Fourth Proportional to 115,974.25, 160,044.47 and 65,682.97

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Solution

The fourth proportional to 115,974.25, 160,044.47 and 65,682.97 is: 90,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,974.25 : 160,044.47 = 65,682.97 : x
  2. Step 2: Convert to fraction form
    115,974.25/160,044.47 = 65,682.97/x
  3. Step 3: Cross multiply
    115,974.25x = 160,044.47 × 65,682.97
  4. Step 4: Simplify right side
    115,974.25x = 10,512,196,121.68
  5. Step 5: Solve for x
    x = 10,512,196,121.68/115,974.25
  6. Step 6: Final answer
    x = 90,642.50

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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.