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Finding the Fourth Proportional to 72,872.64, 109,308.93 and 20,283.48

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Solution

The fourth proportional to 72,872.64, 109,308.93 and 20,283.48 is: 30,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,872.64 : 109,308.93 = 20,283.48 : x
  2. Step 2: Convert to fraction form
    72,872.64/109,308.93 = 20,283.48/x
  3. Step 3: Cross multiply
    72,872.64x = 109,308.93 × 20,283.48
  4. Step 4: Simplify right side
    72,872.64x = 2,217,165,495.48
  5. Step 5: Solve for x
    x = 2,217,165,495.48/72,872.64
  6. Step 6: Final answer
    x = 30,425.21

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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.