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Finding the Fourth Proportional to 137,830.44, 206,782.10 and 74,622.49

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Solution

The fourth proportional to 137,830.44, 206,782.10 and 74,622.49 is: 111,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.44 : 206,782.10 = 74,622.49 : x
  2. Step 2: Convert to fraction form
    137,830.44/206,782.10 = 74,622.49/x
  3. Step 3: Cross multiply
    137,830.44x = 206,782.10 × 74,622.49
  4. Step 4: Simplify right side
    137,830.44x = 15,430,595,375.99
  5. Step 5: Solve for x
    x = 15,430,595,375.99/137,830.44
  6. Step 6: Final answer
    x = 111,953.47

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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.