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Finding the Fourth Proportional to 120,422.91, 180,676.28 and 53,870.07

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Solution

The fourth proportional to 120,422.91, 180,676.28 and 53,870.07 is: 80,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,422.91 : 180,676.28 = 53,870.07 : x
  2. Step 2: Convert to fraction form
    120,422.91/180,676.28 = 53,870.07/x
  3. Step 3: Cross multiply
    120,422.91x = 180,676.28 × 53,870.07
  4. Step 4: Simplify right side
    120,422.91x = 9,733,043,850.94
  5. Step 5: Solve for x
    x = 9,733,043,850.94/120,422.91
  6. Step 6: Final answer
    x = 80,823.86

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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.