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Finding the Fourth Proportional to 218,109.75, 300,874.82 and 146,366.43

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Solution

The fourth proportional to 218,109.75, 300,874.82 and 146,366.43 is: 201,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109.75 : 300,874.82 = 146,366.43 : x
  2. Step 2: Convert to fraction form
    218,109.75/300,874.82 = 146,366.43/x
  3. Step 3: Cross multiply
    218,109.75x = 300,874.82 × 146,366.43
  4. Step 4: Simplify right side
    218,109.75x = 44,037,972,548.46
  5. Step 5: Solve for x
    x = 44,037,972,548.46/218,109.75
  6. Step 6: Final answer
    x = 201,907.40

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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.