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Finding the Fourth Proportional to 221,678, 305,917.26 and 121,076

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Solution

The fourth proportional to 221,678, 305,917.26 and 121,076 is: 167,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,678 : 305,917.26 = 121,076 : x
  2. Step 2: Convert to fraction form
    221,678/305,917.26 = 121,076/x
  3. Step 3: Cross multiply
    221,678x = 305,917.26 × 121,076
  4. Step 4: Simplify right side
    221,678x = 37,039,238,171.76
  5. Step 5: Solve for x
    x = 37,039,238,171.76/221,678
  6. Step 6: Final answer
    x = 167,085.76

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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.