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Finding the Fourth Proportional to 120,025.92, 180,038.94 and 31,279.20

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Solution

The fourth proportional to 120,025.92, 180,038.94 and 31,279.20 is: 46,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,025.92 : 180,038.94 = 31,279.20 : x
  2. Step 2: Convert to fraction form
    120,025.92/180,038.94 = 31,279.20/x
  3. Step 3: Cross multiply
    120,025.92x = 180,038.94 × 31,279.20
  4. Step 4: Simplify right side
    120,025.92x = 5,631,474,012.05
  5. Step 5: Solve for x
    x = 5,631,474,012.05/120,025.92
  6. Step 6: Final answer
    x = 46,918.82

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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.