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Finding the Fourth Proportional to 137,777.94, 206,174.43 and 107,991

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Solution

The fourth proportional to 137,777.94, 206,174.43 and 107,991 is: 161,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,777.94 : 206,174.43 = 107,991 : x
  2. Step 2: Convert to fraction form
    137,777.94/206,174.43 = 107,991/x
  3. Step 3: Cross multiply
    137,777.94x = 206,174.43 × 107,991
  4. Step 4: Simplify right side
    137,777.94x = 22,264,982,870.13
  5. Step 5: Solve for x
    x = 22,264,982,870.13/137,777.94
  6. Step 6: Final answer
    x = 161,600.49

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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.