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Finding the Fourth Proportional to 212,183.94, 292,808 and 116,690.64

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Solution

The fourth proportional to 212,183.94, 292,808 and 116,690.64 is: 161,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,183.94 : 292,808 = 116,690.64 : x
  2. Step 2: Convert to fraction form
    212,183.94/292,808 = 116,690.64/x
  3. Step 3: Cross multiply
    212,183.94x = 292,808 × 116,690.64
  4. Step 4: Simplify right side
    212,183.94x = 34,167,952,917.12
  5. Step 5: Solve for x
    x = 34,167,952,917.12/212,183.94
  6. Step 6: Final answer
    x = 161,029.87

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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.