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Finding the Fourth Proportional to 222,176, 306,602.07 and 120,201.50

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Solution

The fourth proportional to 222,176, 306,602.07 and 120,201.50 is: 165,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,176 : 306,602.07 = 120,201.50 : x
  2. Step 2: Convert to fraction form
    222,176/306,602.07 = 120,201.50/x
  3. Step 3: Cross multiply
    222,176x = 306,602.07 × 120,201.50
  4. Step 4: Simplify right side
    222,176x = 36,854,028,717.11
  5. Step 5: Solve for x
    x = 36,854,028,717.11/222,176
  6. Step 6: Final answer
    x = 165,877.63

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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.