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Finding the Fourth Proportional to 65,726, 90,695.38 and 40,239.55

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Solution

The fourth proportional to 65,726, 90,695.38 and 40,239.55 is: 55,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,726 : 90,695.38 = 40,239.55 : x
  2. Step 2: Convert to fraction form
    65,726/90,695.38 = 40,239.55/x
  3. Step 3: Cross multiply
    65,726x = 90,695.38 × 40,239.55
  4. Step 4: Simplify right side
    65,726x = 3,649,541,278.28
  5. Step 5: Solve for x
    x = 3,649,541,278.28/65,726
  6. Step 6: Final answer
    x = 55,526.60

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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.