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Finding the Fourth Proportional to 68,109.80, 102,164.70 and 30,687.80

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Solution

The fourth proportional to 68,109.80, 102,164.70 and 30,687.80 is: 46,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,109.80 : 102,164.70 = 30,687.80 : x
  2. Step 2: Convert to fraction form
    68,109.80/102,164.70 = 30,687.80/x
  3. Step 3: Cross multiply
    68,109.80x = 102,164.70 × 30,687.80
  4. Step 4: Simplify right side
    68,109.80x = 3,135,209,880.66
  5. Step 5: Solve for x
    x = 3,135,209,880.66/68,109.80
  6. Step 6: Final answer
    x = 46,031.70

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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.