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Finding the Fourth Proportional to 220,414.08, 304,172.64 and 129,774

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Solution

The fourth proportional to 220,414.08, 304,172.64 and 129,774 is: 179,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,414.08 : 304,172.64 = 129,774 : x
  2. Step 2: Convert to fraction form
    220,414.08/304,172.64 = 129,774/x
  3. Step 3: Cross multiply
    220,414.08x = 304,172.64 × 129,774
  4. Step 4: Simplify right side
    220,414.08x = 39,473,700,183.36
  5. Step 5: Solve for x
    x = 39,473,700,183.36/220,414.08
  6. Step 6: Final answer
    x = 179,088.83

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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.