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Finding the Fourth Proportional to 65,725, 90,694 and 40,238.55

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Solution

The fourth proportional to 65,725, 90,694 and 40,238.55 is: 55,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,725 : 90,694 = 40,238.55 : x
  2. Step 2: Convert to fraction form
    65,725/90,694 = 40,238.55/x
  3. Step 3: Cross multiply
    65,725x = 90,694 × 40,238.55
  4. Step 4: Simplify right side
    65,725x = 3,649,395,053.70
  5. Step 5: Solve for x
    x = 3,649,395,053.70/65,725
  6. Step 6: Final answer
    x = 55,525.22

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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.