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Finding the Fourth Proportional to 120,650.76, 180,968.74 and 54,073.02

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Solution

The fourth proportional to 120,650.76, 180,968.74 and 54,073.02 is: 81,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,650.76 : 180,968.74 = 54,073.02 : x
  2. Step 2: Convert to fraction form
    120,650.76/180,968.74 = 54,073.02/x
  3. Step 3: Cross multiply
    120,650.76x = 180,968.74 × 54,073.02
  4. Step 4: Simplify right side
    120,650.76x = 9,785,526,297.39
  5. Step 5: Solve for x
    x = 9,785,526,297.39/120,650.76
  6. Step 6: Final answer
    x = 81,106.21

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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.