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Finding the Fourth Proportional to 137,999.50, 206,822.64 and 71,427.22

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Solution

The fourth proportional to 137,999.50, 206,822.64 and 71,427.22 is: 107,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,999.50 : 206,822.64 = 71,427.22 : x
  2. Step 2: Convert to fraction form
    137,999.50/206,822.64 = 71,427.22/x
  3. Step 3: Cross multiply
    137,999.50x = 206,822.64 × 71,427.22
  4. Step 4: Simplify right side
    137,999.50x = 14,772,766,208.26
  5. Step 5: Solve for x
    x = 14,772,766,208.26/137,999.50
  6. Step 6: Final answer
    x = 107,049.42

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1.5x scale

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.