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Finding the Fourth Proportional to 212,174.82, 318,262.22 and 101,029.86

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Solution

The fourth proportional to 212,174.82, 318,262.22 and 101,029.86 is: 151,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,174.82 : 318,262.22 = 101,029.86 : x
  2. Step 2: Convert to fraction form
    212,174.82/318,262.22 = 101,029.86/x
  3. Step 3: Cross multiply
    212,174.82x = 318,262.22 × 101,029.86
  4. Step 4: Simplify right side
    212,174.82x = 32,153,987,529.89
  5. Step 5: Solve for x
    x = 32,153,987,529.89/212,174.82
  6. Step 6: Final answer
    x = 151,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.