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Finding the Fourth Proportional to 140,999.54, 194,578.30 and 77,336.88

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Solution

The fourth proportional to 140,999.54, 194,578.30 and 77,336.88 is: 106,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,999.54 : 194,578.30 = 77,336.88 : x
  2. Step 2: Convert to fraction form
    140,999.54/194,578.30 = 77,336.88/x
  3. Step 3: Cross multiply
    140,999.54x = 194,578.30 × 77,336.88
  4. Step 4: Simplify right side
    140,999.54x = 15,048,078,004.71
  5. Step 5: Solve for x
    x = 15,048,078,004.71/140,999.54
  6. Step 6: Final answer
    x = 106,724.31

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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.