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Finding the Fourth Proportional to 25,142.70, 34,692.12 and 16,188.42

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Solution

The fourth proportional to 25,142.70, 34,692.12 and 16,188.42 is: 22,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.70 : 34,692.12 = 16,188.42 : x
  2. Step 2: Convert to fraction form
    25,142.70/34,692.12 = 16,188.42/x
  3. Step 3: Cross multiply
    25,142.70x = 34,692.12 × 16,188.42
  4. Step 4: Simplify right side
    25,142.70x = 561,610,609.25
  5. Step 5: Solve for x
    x = 561,610,609.25/25,142.70
  6. Step 6: Final answer
    x = 22,336.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.