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Finding the Fourth Proportional to 200,729.29, 301,031.16 and 72,629.41

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Solution

The fourth proportional to 200,729.29, 301,031.16 and 72,629.41 is: 108,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.29 : 301,031.16 = 72,629.41 : x
  2. Step 2: Convert to fraction form
    200,729.29/301,031.16 = 72,629.41/x
  3. Step 3: Cross multiply
    200,729.29x = 301,031.16 × 72,629.41
  4. Step 4: Simplify right side
    200,729.29x = 21,863,715,542.42
  5. Step 5: Solve for x
    x = 21,863,715,542.42/200,729.29
  6. Step 6: Final answer
    x = 108,921.40

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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.