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Finding the Fourth Proportional to 120,494.91, 180,564.74 and 67,113.38

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Solution

The fourth proportional to 120,494.91, 180,564.74 and 67,113.38 is: 100,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.91 : 180,564.74 = 67,113.38 : x
  2. Step 2: Convert to fraction form
    120,494.91/180,564.74 = 67,113.38/x
  3. Step 3: Cross multiply
    120,494.91x = 180,564.74 × 67,113.38
  4. Step 4: Simplify right side
    120,494.91x = 12,118,309,739.58
  5. Step 5: Solve for x
    x = 12,118,309,739.58/120,494.91
  6. Step 6: Final answer
    x = 100,571.14

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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.