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Finding the Fourth Proportional to 139,988.31, 209,616.45 and 76,676.73

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Solution

The fourth proportional to 139,988.31, 209,616.45 and 76,676.73 is: 114,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,988.31 : 209,616.45 = 76,676.73 : x
  2. Step 2: Convert to fraction form
    139,988.31/209,616.45 = 76,676.73/x
  3. Step 3: Cross multiply
    139,988.31x = 209,616.45 × 76,676.73
  4. Step 4: Simplify right side
    139,988.31x = 16,072,703,940.21
  5. Step 5: Solve for x
    x = 16,072,703,940.21/139,988.31
  6. Step 6: Final answer
    x = 114,814.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.