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Finding the Fourth Proportional to 143,871, 198,539.70 and 80,212.68

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Solution

The fourth proportional to 143,871, 198,539.70 and 80,212.68 is: 110,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,871 : 198,539.70 = 80,212.68 : x
  2. Step 2: Convert to fraction form
    143,871/198,539.70 = 80,212.68/x
  3. Step 3: Cross multiply
    143,871x = 198,539.70 × 80,212.68
  4. Step 4: Simplify right side
    143,871x = 15,925,401,423.40
  5. Step 5: Solve for x
    x = 15,925,401,423.40/143,871
  6. Step 6: Final answer
    x = 110,692.23

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Why These Related Problems?

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