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Finding the Fourth Proportional to 219,121.64, 328,684.80 and 69,359.12

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Solution

The fourth proportional to 219,121.64, 328,684.80 and 69,359.12 is: 104,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,121.64 : 328,684.80 = 69,359.12 : x
  2. Step 2: Convert to fraction form
    219,121.64/328,684.80 = 69,359.12/x
  3. Step 3: Cross multiply
    219,121.64x = 328,684.80 × 69,359.12
  4. Step 4: Simplify right side
    219,121.64x = 22,797,288,485.38
  5. Step 5: Solve for x
    x = 22,797,288,485.38/219,121.64
  6. Step 6: Final answer
    x = 104,039.42

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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.