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Finding the Fourth Proportional to 212,305.81, 318,458.72 and 54,534.42

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Solution

The fourth proportional to 212,305.81, 318,458.72 and 54,534.42 is: 81,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,305.81 : 318,458.72 = 54,534.42 : x
  2. Step 2: Convert to fraction form
    212,305.81/318,458.72 = 54,534.42/x
  3. Step 3: Cross multiply
    212,305.81x = 318,458.72 × 54,534.42
  4. Step 4: Simplify right side
    212,305.81x = 17,366,961,589.14
  5. Step 5: Solve for x
    x = 17,366,961,589.14/212,305.81
  6. Step 6: Final answer
    x = 81,801.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.