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Finding the Fourth Proportional to 68,083.85, 102,128.51 and 23,715.09

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Solution

The fourth proportional to 68,083.85, 102,128.51 and 23,715.09 is: 35,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083.85 : 102,128.51 = 23,715.09 : x
  2. Step 2: Convert to fraction form
    68,083.85/102,128.51 = 23,715.09/x
  3. Step 3: Cross multiply
    68,083.85x = 102,128.51 × 23,715.09
  4. Step 4: Simplify right side
    68,083.85x = 2,421,986,865.50
  5. Step 5: Solve for x
    x = 2,421,986,865.50/68,083.85
  6. Step 6: Final answer
    x = 35,573.59

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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.