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Finding the Fourth Proportional to 72,872.63, 109,308.95 and 20,283.48

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Solution

The fourth proportional to 72,872.63, 109,308.95 and 20,283.48 is: 30,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,872.63 : 109,308.95 = 20,283.48 : x
  2. Step 2: Convert to fraction form
    72,872.63/109,308.95 = 20,283.48/x
  3. Step 3: Cross multiply
    72,872.63x = 109,308.95 × 20,283.48
  4. Step 4: Simplify right side
    72,872.63x = 2,217,165,799.73
  5. Step 5: Solve for x
    x = 2,217,165,799.73/72,872.63
  6. Step 6: Final answer
    x = 30,425.22

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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.