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Finding the Fourth Proportional to 212,043.12, 318,103.72 and 69,896.88

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Solution

The fourth proportional to 212,043.12, 318,103.72 and 69,896.88 is: 104,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,043.12 : 318,103.72 = 69,896.88 : x
  2. Step 2: Convert to fraction form
    212,043.12/318,103.72 = 69,896.88/x
  3. Step 3: Cross multiply
    212,043.12x = 318,103.72 × 69,896.88
  4. Step 4: Simplify right side
    212,043.12x = 22,234,457,544.39
  5. Step 5: Solve for x
    x = 22,234,457,544.39/212,043.12
  6. Step 6: Final answer
    x = 104,858.19

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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.