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Finding the Fourth Proportional to 71,223.72, 106,827.42 and 18,638.28

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Solution

The fourth proportional to 71,223.72, 106,827.42 and 18,638.28 is: 27,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,223.72 : 106,827.42 = 18,638.28 : x
  2. Step 2: Convert to fraction form
    71,223.72/106,827.42 = 18,638.28/x
  3. Step 3: Cross multiply
    71,223.72x = 106,827.42 × 18,638.28
  4. Step 4: Simplify right side
    71,223.72x = 1,991,079,365.64
  5. Step 5: Solve for x
    x = 1,991,079,365.64/71,223.72
  6. Step 6: Final answer
    x = 27,955.28

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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.