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Finding the Fourth Proportional to 217,144.94, 299,644.89 and 120,347.84

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Solution

The fourth proportional to 217,144.94, 299,644.89 and 120,347.84 is: 166,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,144.94 : 299,644.89 = 120,347.84 : x
  2. Step 2: Convert to fraction form
    217,144.94/299,644.89 = 120,347.84/x
  3. Step 3: Cross multiply
    217,144.94x = 299,644.89 × 120,347.84
  4. Step 4: Simplify right side
    217,144.94x = 36,061,615,576.35
  5. Step 5: Solve for x
    x = 36,061,615,576.35/217,144.94
  6. Step 6: Final answer
    x = 166,071.64

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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.