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Finding the Fourth Proportional to 211,910, 292,474.68 and 122,486

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Solution

The fourth proportional to 211,910, 292,474.68 and 122,486 is: 169,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,910 : 292,474.68 = 122,486 : x
  2. Step 2: Convert to fraction form
    211,910/292,474.68 = 122,486/x
  3. Step 3: Cross multiply
    211,910x = 292,474.68 × 122,486
  4. Step 4: Simplify right side
    211,910x = 35,824,053,654.48
  5. Step 5: Solve for x
    x = 35,824,053,654.48/211,910
  6. Step 6: Final answer
    x = 169,053.15

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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.