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Finding the Fourth Proportional to 68,057.94, 93,930.16 and 49,000.78

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Solution

The fourth proportional to 68,057.94, 93,930.16 and 49,000.78 is: 67,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,057.94 : 93,930.16 = 49,000.78 : x
  2. Step 2: Convert to fraction form
    68,057.94/93,930.16 = 49,000.78/x
  3. Step 3: Cross multiply
    68,057.94x = 93,930.16 × 49,000.78
  4. Step 4: Simplify right side
    68,057.94x = 4,602,651,105.52
  5. Step 5: Solve for x
    x = 4,602,651,105.52/68,057.94
  6. Step 6: Final answer
    x = 67,628.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.