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Finding the Fourth Proportional to 120,566.34, 180,709.38 and 45,638.64

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Solution

The fourth proportional to 120,566.34, 180,709.38 and 45,638.64 is: 68,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,566.34 : 180,709.38 = 45,638.64 : x
  2. Step 2: Convert to fraction form
    120,566.34/180,709.38 = 45,638.64/x
  3. Step 3: Cross multiply
    120,566.34x = 180,709.38 × 45,638.64
  4. Step 4: Simplify right side
    120,566.34x = 8,247,330,338.44
  5. Step 5: Solve for x
    x = 8,247,330,338.44/120,566.34
  6. Step 6: Final answer
    x = 68,404.92

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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.