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Finding the Fourth Proportional to 209,960.96, 289,734.72 and 120,536.96

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Solution

The fourth proportional to 209,960.96, 289,734.72 and 120,536.96 is: 166,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,960.96 : 289,734.72 = 120,536.96 : x
  2. Step 2: Convert to fraction form
    209,960.96/289,734.72 = 120,536.96/x
  3. Step 3: Cross multiply
    209,960.96x = 289,734.72 × 120,536.96
  4. Step 4: Simplify right side
    209,960.96x = 34,923,742,355.25
  5. Step 5: Solve for x
    x = 34,923,742,355.25/209,960.96
  6. Step 6: Final answer
    x = 166,334.46

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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.