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Finding the Fourth Proportional to 140,602.92, 194,036.76 and 76,940.57

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Solution

The fourth proportional to 140,602.92, 194,036.76 and 76,940.57 is: 106,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,602.92 : 194,036.76 = 76,940.57 : x
  2. Step 2: Convert to fraction form
    140,602.92/194,036.76 = 76,940.57/x
  3. Step 3: Cross multiply
    140,602.92x = 194,036.76 × 76,940.57
  4. Step 4: Simplify right side
    140,602.92x = 14,929,297,945.17
  5. Step 5: Solve for x
    x = 14,929,297,945.17/140,602.92
  6. Step 6: Final answer
    x = 106,180.57

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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.