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Finding the Fourth Proportional to 120,701.80, 180,836.70 and 58,234.60

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Solution

The fourth proportional to 120,701.80, 180,836.70 and 58,234.60 is: 87,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,701.80 : 180,836.70 = 58,234.60 : x
  2. Step 2: Convert to fraction form
    120,701.80/180,836.70 = 58,234.60/x
  3. Step 3: Cross multiply
    120,701.80x = 180,836.70 × 58,234.60
  4. Step 4: Simplify right side
    120,701.80x = 10,530,952,889.82
  5. Step 5: Solve for x
    x = 10,530,952,889.82/120,701.80
  6. Step 6: Final answer
    x = 87,247.69

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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.