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Finding the Fourth Proportional to 140,940.78, 194,496.80 and 77,278.46

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Solution

The fourth proportional to 140,940.78, 194,496.80 and 77,278.46 is: 106,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940.78 : 194,496.80 = 77,278.46 : x
  2. Step 2: Convert to fraction form
    140,940.78/194,496.80 = 77,278.46/x
  3. Step 3: Cross multiply
    140,940.78x = 194,496.80 × 77,278.46
  4. Step 4: Simplify right side
    140,940.78x = 15,030,413,178.93
  5. Step 5: Solve for x
    x = 15,030,413,178.93/140,940.78
  6. Step 6: Final answer
    x = 106,643.47

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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.