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Finding the Fourth Proportional to 65,718, 90,691.56 and 35,910

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Solution

The fourth proportional to 65,718, 90,691.56 and 35,910 is: 49,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718 : 90,691.56 = 35,910 : x
  2. Step 2: Convert to fraction form
    65,718/90,691.56 = 35,910/x
  3. Step 3: Cross multiply
    65,718x = 90,691.56 × 35,910
  4. Step 4: Simplify right side
    65,718x = 3,256,733,919.60
  5. Step 5: Solve for x
    x = 3,256,733,919.60/65,718
  6. Step 6: Final answer
    x = 49,556.19

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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.