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Finding the Fourth Proportional to 68,192, 102,289.28 and 18,945.28

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Solution

The fourth proportional to 68,192, 102,289.28 and 18,945.28 is: 28,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,192 : 102,289.28 = 18,945.28 : x
  2. Step 2: Convert to fraction form
    68,192/102,289.28 = 18,945.28/x
  3. Step 3: Cross multiply
    68,192x = 102,289.28 × 18,945.28
  4. Step 4: Simplify right side
    68,192x = 1,937,899,050.60
  5. Step 5: Solve for x
    x = 1,937,899,050.60/68,192
  6. Step 6: Final answer
    x = 28,418.28

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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.