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Finding the Fourth Proportional to 68,257, 102,385.50 and 19,009

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Solution

The fourth proportional to 68,257, 102,385.50 and 19,009 is: 28,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257 : 102,385.50 = 19,009 : x
  2. Step 2: Convert to fraction form
    68,257/102,385.50 = 19,009/x
  3. Step 3: Cross multiply
    68,257x = 102,385.50 × 19,009
  4. Step 4: Simplify right side
    68,257x = 1,946,245,969.50
  5. Step 5: Solve for x
    x = 1,946,245,969.50/68,257
  6. Step 6: Final answer
    x = 28,513.50

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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.