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Finding the Fourth Proportional to 149,602.53, 206,469.78 and 85,940.19

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Solution

The fourth proportional to 149,602.53, 206,469.78 and 85,940.19 is: 118,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602.53 : 206,469.78 = 85,940.19 : x
  2. Step 2: Convert to fraction form
    149,602.53/206,469.78 = 85,940.19/x
  3. Step 3: Cross multiply
    149,602.53x = 206,469.78 × 85,940.19
  4. Step 4: Simplify right side
    149,602.53x = 17,744,052,122.46
  5. Step 5: Solve for x
    x = 17,744,052,122.46/149,602.53
  6. Step 6: Final answer
    x = 118,607.97

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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.