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Finding the Fourth Proportional to 220,078, 303,711.32 and 119,476

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Solution

The fourth proportional to 220,078, 303,711.32 and 119,476 is: 164,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,078 : 303,711.32 = 119,476 : x
  2. Step 2: Convert to fraction form
    220,078/303,711.32 = 119,476/x
  3. Step 3: Cross multiply
    220,078x = 303,711.32 × 119,476
  4. Step 4: Simplify right side
    220,078x = 36,286,213,668.32
  5. Step 5: Solve for x
    x = 36,286,213,668.32/220,078
  6. Step 6: Final answer
    x = 164,878.88

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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.