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Finding the Fourth Proportional to 137,830.31, 206,781.92 and 74,622.37

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Solution

The fourth proportional to 137,830.31, 206,781.92 and 74,622.37 is: 111,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.31 : 206,781.92 = 74,622.37 : x
  2. Step 2: Convert to fraction form
    137,830.31/206,781.92 = 74,622.37/x
  3. Step 3: Cross multiply
    137,830.31x = 206,781.92 × 74,622.37
  4. Step 4: Simplify right side
    137,830.31x = 15,430,555,536.53
  5. Step 5: Solve for x
    x = 15,430,555,536.53/137,830.31
  6. Step 6: Final answer
    x = 111,953.28

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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.