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Finding the Fourth Proportional to 120,415.92, 180,735.96 and 61,295.84

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Solution

The fourth proportional to 120,415.92, 180,735.96 and 61,295.84 is: 92,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,415.92 : 180,735.96 = 61,295.84 : x
  2. Step 2: Convert to fraction form
    120,415.92/180,735.96 = 61,295.84/x
  3. Step 3: Cross multiply
    120,415.92x = 180,735.96 × 61,295.84
  4. Step 4: Simplify right side
    120,415.92x = 11,078,362,145.56
  5. Step 5: Solve for x
    x = 11,078,362,145.56/120,415.92
  6. Step 6: Final answer
    x = 92,000.81

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1.5x scale

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.