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Finding the Fourth Proportional to 68,769.68, 103,137.76 and 28,767

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Solution

The fourth proportional to 68,769.68, 103,137.76 and 28,767 is: 43,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,769.68 : 103,137.76 = 28,767 : x
  2. Step 2: Convert to fraction form
    68,769.68/103,137.76 = 28,767/x
  3. Step 3: Cross multiply
    68,769.68x = 103,137.76 × 28,767
  4. Step 4: Simplify right side
    68,769.68x = 2,966,963,941.92
  5. Step 5: Solve for x
    x = 2,966,963,941.92/68,769.68
  6. Step 6: Final answer
    x = 43,143.49

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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.