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Finding the Fourth Proportional to 219,474, 302,874.12 and 118,872

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Solution

The fourth proportional to 219,474, 302,874.12 and 118,872 is: 164,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,474 : 302,874.12 = 118,872 : x
  2. Step 2: Convert to fraction form
    219,474/302,874.12 = 118,872/x
  3. Step 3: Cross multiply
    219,474x = 302,874.12 × 118,872
  4. Step 4: Simplify right side
    219,474x = 36,003,252,392.64
  5. Step 5: Solve for x
    x = 36,003,252,392.64/219,474
  6. Step 6: Final answer
    x = 164,043.36

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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.