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Finding the Fourth Proportional to 211,898, 292,458.12 and 122,474

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Solution

The fourth proportional to 211,898, 292,458.12 and 122,474 is: 169,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,898 : 292,458.12 = 122,474 : x
  2. Step 2: Convert to fraction form
    211,898/292,458.12 = 122,474/x
  3. Step 3: Cross multiply
    211,898x = 292,458.12 × 122,474
  4. Step 4: Simplify right side
    211,898x = 35,818,515,788.88
  5. Step 5: Solve for x
    x = 35,818,515,788.88/211,898
  6. Step 6: Final answer
    x = 169,036.59

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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.