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Finding the Fourth Proportional to 68,603.20, 102,962.40 and 31,220.80

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Solution

The fourth proportional to 68,603.20, 102,962.40 and 31,220.80 is: 46,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,603.20 : 102,962.40 = 31,220.80 : x
  2. Step 2: Convert to fraction form
    68,603.20/102,962.40 = 31,220.80/x
  3. Step 3: Cross multiply
    68,603.20x = 102,962.40 × 31,220.80
  4. Step 4: Simplify right side
    68,603.20x = 3,214,568,497.92
  5. Step 5: Solve for x
    x = 3,214,568,497.92/68,603.20
  6. Step 6: Final answer
    x = 46,857.41

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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.