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Finding the Fourth Proportional to 220,308, 304,025.85 and 119,706

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Solution

The fourth proportional to 220,308, 304,025.85 and 119,706 is: 165,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,308 : 304,025.85 = 119,706 : x
  2. Step 2: Convert to fraction form
    220,308/304,025.85 = 119,706/x
  3. Step 3: Cross multiply
    220,308x = 304,025.85 × 119,706
  4. Step 4: Simplify right side
    220,308x = 36,393,718,400.10
  5. Step 5: Solve for x
    x = 36,393,718,400.10/220,308
  6. Step 6: Final answer
    x = 165,194.72

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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.