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Finding the Fourth Proportional to 120,584.82, 180,852.60 and 45,679.14

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Solution

The fourth proportional to 120,584.82, 180,852.60 and 45,679.14 is: 68,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584.82 : 180,852.60 = 45,679.14 : x
  2. Step 2: Convert to fraction form
    120,584.82/180,852.60 = 45,679.14/x
  3. Step 3: Cross multiply
    120,584.82x = 180,852.60 × 45,679.14
  4. Step 4: Simplify right side
    120,584.82x = 8,261,191,234.76
  5. Step 5: Solve for x
    x = 8,261,191,234.76/120,584.82
  6. Step 6: Final answer
    x = 68,509.38

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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.