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Finding the Fourth Proportional to 222,098.63, 306,495.20 and 120,124.20

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Solution

The fourth proportional to 222,098.63, 306,495.20 and 120,124.20 is: 165,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,098.63 : 306,495.20 = 120,124.20 : x
  2. Step 2: Convert to fraction form
    222,098.63/306,495.20 = 120,124.20/x
  3. Step 3: Cross multiply
    222,098.63x = 306,495.20 × 120,124.20
  4. Step 4: Simplify right side
    222,098.63x = 36,817,490,103.22
  5. Step 5: Solve for x
    x = 36,817,490,103.22/222,098.63
  6. Step 6: Final answer
    x = 165,770.90

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1.5x scale

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.