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Finding the Fourth Proportional to 138,197.28, 207,322.74 and 53,954.04

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Solution

The fourth proportional to 138,197.28, 207,322.74 and 53,954.04 is: 80,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.28 : 207,322.74 = 53,954.04 : x
  2. Step 2: Convert to fraction form
    138,197.28/207,322.74 = 53,954.04/x
  3. Step 3: Cross multiply
    138,197.28x = 207,322.74 × 53,954.04
  4. Step 4: Simplify right side
    138,197.28x = 11,185,899,406.87
  5. Step 5: Solve for x
    x = 11,185,899,406.87/138,197.28
  6. Step 6: Final answer
    x = 80,941.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.