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Finding the Fourth Proportional to 137,930.70, 206,896.05 and 102,938.70

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Solution

The fourth proportional to 137,930.70, 206,896.05 and 102,938.70 is: 154,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930.70 : 206,896.05 = 102,938.70 : x
  2. Step 2: Convert to fraction form
    137,930.70/206,896.05 = 102,938.70/x
  3. Step 3: Cross multiply
    137,930.70x = 206,896.05 × 102,938.70
  4. Step 4: Simplify right side
    137,930.70x = 21,297,610,422.14
  5. Step 5: Solve for x
    x = 21,297,610,422.14/137,930.70
  6. Step 6: Final answer
    x = 154,408.05

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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.