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Finding the Fourth Proportional to 211,481.72, 291,817.84 and 120,843.52

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Solution

The fourth proportional to 211,481.72, 291,817.84 and 120,843.52 is: 166,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,481.72 : 291,817.84 = 120,843.52 : x
  2. Step 2: Convert to fraction form
    211,481.72/291,817.84 = 120,843.52/x
  3. Step 3: Cross multiply
    211,481.72x = 291,817.84 × 120,843.52
  4. Step 4: Simplify right side
    211,481.72x = 35,264,294,984.40
  5. Step 5: Solve for x
    x = 35,264,294,984.40/211,481.72
  6. Step 6: Final answer
    x = 166,748.67

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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.