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Finding the Fourth Proportional to 120,392.93, 180,614.51 and 36,149.69

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Solution

The fourth proportional to 120,392.93, 180,614.51 and 36,149.69 is: 54,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,392.93 : 180,614.51 = 36,149.69 : x
  2. Step 2: Convert to fraction form
    120,392.93/180,614.51 = 36,149.69/x
  3. Step 3: Cross multiply
    120,392.93x = 180,614.51 × 36,149.69
  4. Step 4: Simplify right side
    120,392.93x = 6,529,157,462.18
  5. Step 5: Solve for x
    x = 6,529,157,462.18/120,392.93
  6. Step 6: Final answer
    x = 54,232.07

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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.