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Finding the Fourth Proportional to 149,605.70, 206,463.78 and 85,947.60

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Solution

The fourth proportional to 149,605.70, 206,463.78 and 85,947.60 is: 118,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,605.70 : 206,463.78 = 85,947.60 : x
  2. Step 2: Convert to fraction form
    149,605.70/206,463.78 = 85,947.60/x
  3. Step 3: Cross multiply
    149,605.70x = 206,463.78 × 85,947.60
  4. Step 4: Simplify right side
    149,605.70x = 17,745,066,377.93
  5. Step 5: Solve for x
    x = 17,745,066,377.93/149,605.70
  6. Step 6: Final answer
    x = 118,612.24

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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.