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Finding the Fourth Proportional to 68,014, 102,026.88 and 18,766

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Solution

The fourth proportional to 68,014, 102,026.88 and 18,766 is: 28,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,014 : 102,026.88 = 18,766 : x
  2. Step 2: Convert to fraction form
    68,014/102,026.88 = 18,766/x
  3. Step 3: Cross multiply
    68,014x = 102,026.88 × 18,766
  4. Step 4: Simplify right side
    68,014x = 1,914,636,430.08
  5. Step 5: Solve for x
    x = 1,914,636,430.08/68,014
  6. Step 6: Final answer
    x = 28,150.62

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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.