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Finding the Fourth Proportional to 120,703.91, 180,985.69 and 80,768.54

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Solution

The fourth proportional to 120,703.91, 180,985.69 and 80,768.54 is: 121,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,703.91 : 180,985.69 = 80,768.54 : x
  2. Step 2: Convert to fraction form
    120,703.91/180,985.69 = 80,768.54/x
  3. Step 3: Cross multiply
    120,703.91x = 180,985.69 × 80,768.54
  4. Step 4: Simplify right side
    120,703.91x = 14,617,950,495.62
  5. Step 5: Solve for x
    x = 14,617,950,495.62/120,703.91
  6. Step 6: Final answer
    x = 121,105.86

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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.