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Finding the Fourth Proportional to 84,142.90, 126,186.96 and 27,967.95

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Solution

The fourth proportional to 84,142.90, 126,186.96 and 27,967.95 is: 41,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.90 : 126,186.96 = 27,967.95 : x
  2. Step 2: Convert to fraction form
    84,142.90/126,186.96 = 27,967.95/x
  3. Step 3: Cross multiply
    84,142.90x = 126,186.96 × 27,967.95
  4. Step 4: Simplify right side
    84,142.90x = 3,529,190,692.81
  5. Step 5: Solve for x
    x = 3,529,190,692.81/84,142.90
  6. Step 6: Final answer
    x = 41,942.82

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1.5x scale

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.