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Finding the Fourth Proportional to 206,991.40, 285,756.90 and 139,363.96

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Solution

The fourth proportional to 206,991.40, 285,756.90 and 139,363.96 is: 192,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991.40 : 285,756.90 = 139,363.96 : x
  2. Step 2: Convert to fraction form
    206,991.40/285,756.90 = 139,363.96/x
  3. Step 3: Cross multiply
    206,991.40x = 285,756.90 × 139,363.96
  4. Step 4: Simplify right side
    206,991.40x = 39,824,213,181.32
  5. Step 5: Solve for x
    x = 39,824,213,181.32/206,991.40
  6. Step 6: Final answer
    x = 192,395.50

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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.