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Finding the Fourth Proportional to 140,494.40, 193,872.40 and 76,830.84

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Solution

The fourth proportional to 140,494.40, 193,872.40 and 76,830.84 is: 106,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.40 : 193,872.40 = 76,830.84 : x
  2. Step 2: Convert to fraction form
    140,494.40/193,872.40 = 76,830.84/x
  3. Step 3: Cross multiply
    140,494.40x = 193,872.40 × 76,830.84
  4. Step 4: Simplify right side
    140,494.40x = 14,895,379,344.82
  5. Step 5: Solve for x
    x = 14,895,379,344.82/140,494.40
  6. Step 6: Final answer
    x = 106,021.16

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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.