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Finding the Fourth Proportional to 218,285.97, 301,184.78 and 122,757.81

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Solution

The fourth proportional to 218,285.97, 301,184.78 and 122,757.81 is: 169,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,285.97 : 301,184.78 = 122,757.81 : x
  2. Step 2: Convert to fraction form
    218,285.97/301,184.78 = 122,757.81/x
  3. Step 3: Cross multiply
    218,285.97x = 301,184.78 × 122,757.81
  4. Step 4: Simplify right side
    218,285.97x = 36,972,783,384.34
  5. Step 5: Solve for x
    x = 36,972,783,384.34/218,285.97
  6. Step 6: Final answer
    x = 169,377.74

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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.