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Finding the Fourth Proportional to 140,738.68, 194,217.84 and 77,072.68

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Solution

The fourth proportional to 140,738.68, 194,217.84 and 77,072.68 is: 106,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,738.68 : 194,217.84 = 77,072.68 : x
  2. Step 2: Convert to fraction form
    140,738.68/194,217.84 = 77,072.68/x
  3. Step 3: Cross multiply
    140,738.68x = 194,217.84 × 77,072.68
  4. Step 4: Simplify right side
    140,738.68x = 14,968,889,432.61
  5. Step 5: Solve for x
    x = 14,968,889,432.61/140,738.68
  6. Step 6: Final answer
    x = 106,359.46

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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.