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Finding the Fourth Proportional to 217,142.64, 299,665.44 and 121,650.12

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Solution

The fourth proportional to 217,142.64, 299,665.44 and 121,650.12 is: 167,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,142.64 : 299,665.44 = 121,650.12 : x
  2. Step 2: Convert to fraction form
    217,142.64/299,665.44 = 121,650.12/x
  3. Step 3: Cross multiply
    217,142.64x = 299,665.44 × 121,650.12
  4. Step 4: Simplify right side
    217,142.64x = 36,454,336,735.85
  5. Step 5: Solve for x
    x = 36,454,336,735.85/217,142.64
  6. Step 6: Final answer
    x = 167,881.98

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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.