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Finding the Fourth Proportional to 71,228.80, 106,840.22 and 18,637.12

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Solution

The fourth proportional to 71,228.80, 106,840.22 and 18,637.12 is: 27,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.80 : 106,840.22 = 18,637.12 : x
  2. Step 2: Convert to fraction form
    71,228.80/106,840.22 = 18,637.12/x
  3. Step 3: Cross multiply
    71,228.80x = 106,840.22 × 18,637.12
  4. Step 4: Simplify right side
    71,228.80x = 1,991,193,466.77
  5. Step 5: Solve for x
    x = 1,991,193,466.77/71,228.80
  6. Step 6: Final answer
    x = 27,954.89

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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.