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Finding the Fourth Proportional to 139,676.19, 192,747.16 and 76,013.83

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Solution

The fourth proportional to 139,676.19, 192,747.16 and 76,013.83 is: 104,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,676.19 : 192,747.16 = 76,013.83 : x
  2. Step 2: Convert to fraction form
    139,676.19/192,747.16 = 76,013.83/x
  3. Step 3: Cross multiply
    139,676.19x = 192,747.16 × 76,013.83
  4. Step 4: Simplify right side
    139,676.19x = 14,651,449,853.22
  5. Step 5: Solve for x
    x = 14,651,449,853.22/139,676.19
  6. Step 6: Final answer
    x = 104,895.83

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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.