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Finding the Fourth Proportional to 120,640, 180,960 and 41,733.04

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Solution

The fourth proportional to 120,640, 180,960 and 41,733.04 is: 62,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,640 : 180,960 = 41,733.04 : x
  2. Step 2: Convert to fraction form
    120,640/180,960 = 41,733.04/x
  3. Step 3: Cross multiply
    120,640x = 180,960 × 41,733.04
  4. Step 4: Simplify right side
    120,640x = 7,552,010,918.40
  5. Step 5: Solve for x
    x = 7,552,010,918.40/120,640
  6. Step 6: Final answer
    x = 62,599.56

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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.