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Finding the Fourth Proportional to 209,489.44, 289,099.92 and 120,065.44

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Solution

The fourth proportional to 209,489.44, 289,099.92 and 120,065.44 is: 165,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,489.44 : 289,099.92 = 120,065.44 : x
  2. Step 2: Convert to fraction form
    209,489.44/289,099.92 = 120,065.44/x
  3. Step 3: Cross multiply
    209,489.44x = 289,099.92 × 120,065.44
  4. Step 4: Simplify right side
    209,489.44x = 34,710,909,098.76
  5. Step 5: Solve for x
    x = 34,710,909,098.76/209,489.44
  6. Step 6: Final answer
    x = 165,692.88

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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.