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Finding the Fourth Proportional to 137,121.88, 205,669.86 and 43,611.16

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Solution

The fourth proportional to 137,121.88, 205,669.86 and 43,611.16 is: 65,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,121.88 : 205,669.86 = 43,611.16 : x
  2. Step 2: Convert to fraction form
    137,121.88/205,669.86 = 43,611.16/x
  3. Step 3: Cross multiply
    137,121.88x = 205,669.86 × 43,611.16
  4. Step 4: Simplify right side
    137,121.88x = 8,969,501,171.64
  5. Step 5: Solve for x
    x = 8,969,501,171.64/137,121.88
  6. Step 6: Final answer
    x = 65,412.62

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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.