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Finding the Fourth Proportional to 210,121.96, 289,956.90 and 120,697.96

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Solution

The fourth proportional to 210,121.96, 289,956.90 and 120,697.96 is: 166,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,121.96 : 289,956.90 = 120,697.96 : x
  2. Step 2: Convert to fraction form
    210,121.96/289,956.90 = 120,697.96/x
  3. Step 3: Cross multiply
    210,121.96x = 289,956.90 × 120,697.96
  4. Step 4: Simplify right side
    210,121.96x = 34,997,206,317.92
  5. Step 5: Solve for x
    x = 34,997,206,317.92/210,121.96
  6. Step 6: Final answer
    x = 166,556.63

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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.