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Finding the Fourth Proportional to 140,868.93, 194,398.74 and 76,339.97

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Solution

The fourth proportional to 140,868.93, 194,398.74 and 76,339.97 is: 105,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,868.93 : 194,398.74 = 76,339.97 : x
  2. Step 2: Convert to fraction form
    140,868.93/194,398.74 = 76,339.97/x
  3. Step 3: Cross multiply
    140,868.93x = 194,398.74 × 76,339.97
  4. Step 4: Simplify right side
    140,868.93x = 14,840,393,007.64
  5. Step 5: Solve for x
    x = 14,840,393,007.64/140,868.93
  6. Step 6: Final answer
    x = 105,348.94

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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.