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Finding the Fourth Proportional to 65,757, 90,746.10 and 35,949

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Solution

The fourth proportional to 65,757, 90,746.10 and 35,949 is: 49,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757 : 90,746.10 = 35,949 : x
  2. Step 2: Convert to fraction form
    65,757/90,746.10 = 35,949/x
  3. Step 3: Cross multiply
    65,757x = 90,746.10 × 35,949
  4. Step 4: Simplify right side
    65,757x = 3,262,231,548.90
  5. Step 5: Solve for x
    x = 3,262,231,548.90/65,757
  6. Step 6: Final answer
    x = 49,610.41

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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.