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Finding the Fourth Proportional to 212,309.44, 318,464.15 and 54,538.04

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Solution

The fourth proportional to 212,309.44, 318,464.15 and 54,538.04 is: 81,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,309.44 : 318,464.15 = 54,538.04 : x
  2. Step 2: Convert to fraction form
    212,309.44/318,464.15 = 54,538.04/x
  3. Step 3: Cross multiply
    212,309.44x = 318,464.15 × 54,538.04
  4. Step 4: Simplify right side
    212,309.44x = 17,368,410,551.27
  5. Step 5: Solve for x
    x = 17,368,410,551.27/212,309.44
  6. Step 6: Final answer
    x = 81,807.06

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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.