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Finding the Fourth Proportional to 68,017, 102,031.38 and 18,769

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Solution

The fourth proportional to 68,017, 102,031.38 and 18,769 is: 28,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,017 : 102,031.38 = 18,769 : x
  2. Step 2: Convert to fraction form
    68,017/102,031.38 = 18,769/x
  3. Step 3: Cross multiply
    68,017x = 102,031.38 × 18,769
  4. Step 4: Simplify right side
    68,017x = 1,915,026,971.22
  5. Step 5: Solve for x
    x = 1,915,026,971.22/68,017
  6. Step 6: Final answer
    x = 28,155.12

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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.