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Finding the Fourth Proportional to 120,273.84, 180,313.54 and 50,205.60

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Solution

The fourth proportional to 120,273.84, 180,313.54 and 50,205.60 is: 75,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.84 : 180,313.54 = 50,205.60 : x
  2. Step 2: Convert to fraction form
    120,273.84/180,313.54 = 50,205.60/x
  3. Step 3: Cross multiply
    120,273.84x = 180,313.54 × 50,205.60
  4. Step 4: Simplify right side
    120,273.84x = 9,052,749,463.82
  5. Step 5: Solve for x
    x = 9,052,749,463.82/120,273.84
  6. Step 6: Final answer
    x = 75,267.82

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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.