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Finding the Fourth Proportional to 65,534, 90,436.92 and 35,726

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Solution

The fourth proportional to 65,534, 90,436.92 and 35,726 is: 49,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,534 : 90,436.92 = 35,726 : x
  2. Step 2: Convert to fraction form
    65,534/90,436.92 = 35,726/x
  3. Step 3: Cross multiply
    65,534x = 90,436.92 × 35,726
  4. Step 4: Simplify right side
    65,534x = 3,230,949,403.92
  5. Step 5: Solve for x
    x = 3,230,949,403.92/65,534
  6. Step 6: Final answer
    x = 49,301.88

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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.