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Finding the Fourth Proportional to 68,505, 102,774.78 and 19,257

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Solution

The fourth proportional to 68,505, 102,774.78 and 19,257 is: 28,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,505 : 102,774.78 = 19,257 : x
  2. Step 2: Convert to fraction form
    68,505/102,774.78 = 19,257/x
  3. Step 3: Cross multiply
    68,505x = 102,774.78 × 19,257
  4. Step 4: Simplify right side
    68,505x = 1,979,133,938.46
  5. Step 5: Solve for x
    x = 1,979,133,938.46/68,505
  6. Step 6: Final answer
    x = 28,890.36

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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.