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Finding the Fourth Proportional to 136,414, 204,621 and 37,918

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Solution

The fourth proportional to 136,414, 204,621 and 37,918 is: 56,877

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,414 : 204,621 = 37,918 : x
  2. Step 2: Convert to fraction form
    136,414/204,621 = 37,918/x
  3. Step 3: Cross multiply
    136,414x = 204,621 × 37,918
  4. Step 4: Simplify right side
    136,414x = 7,758,819,078
  5. Step 5: Solve for x
    x = 7,758,819,078/136,414
  6. Step 6: Final answer
    x = 56,877

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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.