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Finding the Fourth Proportional to 120,647.63, 180,995.04 and 36,414.65

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Solution

The fourth proportional to 120,647.63, 180,995.04 and 36,414.65 is: 54,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,647.63 : 180,995.04 = 36,414.65 : x
  2. Step 2: Convert to fraction form
    120,647.63/180,995.04 = 36,414.65/x
  3. Step 3: Cross multiply
    120,647.63x = 180,995.04 × 36,414.65
  4. Step 4: Simplify right side
    120,647.63x = 6,590,871,485.82
  5. Step 5: Solve for x
    x = 6,590,871,485.82/120,647.63
  6. Step 6: Final answer
    x = 54,629.10

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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.