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Finding the Fourth Proportional to 222,102, 306,508.05 and 121,500

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Solution

The fourth proportional to 222,102, 306,508.05 and 121,500 is: 167,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,102 : 306,508.05 = 121,500 : x
  2. Step 2: Convert to fraction form
    222,102/306,508.05 = 121,500/x
  3. Step 3: Cross multiply
    222,102x = 306,508.05 × 121,500
  4. Step 4: Simplify right side
    222,102x = 37,240,728,075
  5. Step 5: Solve for x
    x = 37,240,728,075/222,102
  6. Step 6: Final answer
    x = 167,673.99

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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.