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Finding the Fourth Proportional to 120,632.40, 180,949.90 and 36,393.29

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Solution

The fourth proportional to 120,632.40, 180,949.90 and 36,393.29 is: 54,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632.40 : 180,949.90 = 36,393.29 : x
  2. Step 2: Convert to fraction form
    120,632.40/180,949.90 = 36,393.29/x
  3. Step 3: Cross multiply
    120,632.40x = 180,949.90 × 36,393.29
  4. Step 4: Simplify right side
    120,632.40x = 6,585,362,186.17
  5. Step 5: Solve for x
    x = 6,585,362,186.17/120,632.40
  6. Step 6: Final answer
    x = 54,590.33

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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.