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Finding the Fourth Proportional to 217,644.68, 300,364 and 122,157.84

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Solution

The fourth proportional to 217,644.68, 300,364 and 122,157.84 is: 168,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,644.68 : 300,364 = 122,157.84 : x
  2. Step 2: Convert to fraction form
    217,644.68/300,364 = 122,157.84/x
  3. Step 3: Cross multiply
    217,644.68x = 300,364 × 122,157.84
  4. Step 4: Simplify right side
    217,644.68x = 36,691,817,453.76
  5. Step 5: Solve for x
    x = 36,691,817,453.76/217,644.68
  6. Step 6: Final answer
    x = 168,585.87

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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.