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Finding the Fourth Proportional to 206,142.96, 308,944.08 and 149,407.44

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Solution

The fourth proportional to 206,142.96, 308,944.08 and 149,407.44 is: 223,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.96 : 308,944.08 = 149,407.44 : x
  2. Step 2: Convert to fraction form
    206,142.96/308,944.08 = 149,407.44/x
  3. Step 3: Cross multiply
    206,142.96x = 308,944.08 × 149,407.44
  4. Step 4: Simplify right side
    206,142.96x = 46,158,544,095.96
  5. Step 5: Solve for x
    x = 46,158,544,095.96/206,142.96
  6. Step 6: Final answer
    x = 223,915.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.