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Finding the Fourth Proportional to 71,408.29, 106,474.01 and 69,446.53

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Solution

The fourth proportional to 71,408.29, 106,474.01 and 69,446.53 is: 103,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408.29 : 106,474.01 = 69,446.53 : x
  2. Step 2: Convert to fraction form
    71,408.29/106,474.01 = 69,446.53/x
  3. Step 3: Cross multiply
    71,408.29x = 106,474.01 × 69,446.53
  4. Step 4: Simplify right side
    71,408.29x = 7,394,250,529.69
  5. Step 5: Solve for x
    x = 7,394,250,529.69/71,408.29
  6. Step 6: Final answer
    x = 103,548.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.