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Finding the Fourth Proportional to 68,503.24, 102,761.70 and 18,584.16

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Solution

The fourth proportional to 68,503.24, 102,761.70 and 18,584.16 is: 27,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,503.24 : 102,761.70 = 18,584.16 : x
  2. Step 2: Convert to fraction form
    68,503.24/102,761.70 = 18,584.16/x
  3. Step 3: Cross multiply
    68,503.24x = 102,761.70 × 18,584.16
  4. Step 4: Simplify right side
    68,503.24x = 1,909,739,874.67
  5. Step 5: Solve for x
    x = 1,909,739,874.67/68,503.24
  6. Step 6: Final answer
    x = 27,878.10

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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.