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Finding the Fourth Proportional to 149,241.96, 205,918.38 and 84,696.90

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Solution

The fourth proportional to 149,241.96, 205,918.38 and 84,696.90 is: 116,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,241.96 : 205,918.38 = 84,696.90 : x
  2. Step 2: Convert to fraction form
    149,241.96/205,918.38 = 84,696.90/x
  3. Step 3: Cross multiply
    149,241.96x = 205,918.38 × 84,696.90
  4. Step 4: Simplify right side
    149,241.96x = 17,440,648,439.02
  5. Step 5: Solve for x
    x = 17,440,648,439.02/149,241.96
  6. Step 6: Final answer
    x = 116,861.56

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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.