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Finding the Fourth Proportional to 120,305.94, 180,483.81 and 36,062.70

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Solution

The fourth proportional to 120,305.94, 180,483.81 and 36,062.70 is: 54,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,305.94 : 180,483.81 = 36,062.70 : x
  2. Step 2: Convert to fraction form
    120,305.94/180,483.81 = 36,062.70/x
  3. Step 3: Cross multiply
    120,305.94x = 180,483.81 × 36,062.70
  4. Step 4: Simplify right side
    120,305.94x = 6,508,733,494.89
  5. Step 5: Solve for x
    x = 6,508,733,494.89/120,305.94
  6. Step 6: Final answer
    x = 54,101.51

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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.