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Finding the Fourth Proportional to 140,813.78, 194,323.44 and 76,283.68

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Solution

The fourth proportional to 140,813.78, 194,323.44 and 76,283.68 is: 105,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,813.78 : 194,323.44 = 76,283.68 : x
  2. Step 2: Convert to fraction form
    140,813.78/194,323.44 = 76,283.68/x
  3. Step 3: Cross multiply
    140,813.78x = 194,323.44 × 76,283.68
  4. Step 4: Simplify right side
    140,813.78x = 14,823,707,113.46
  5. Step 5: Solve for x
    x = 14,823,707,113.46/140,813.78
  6. Step 6: Final answer
    x = 105,271.71

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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.