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Finding the Fourth Proportional to 137,233.60, 205,850.40 and 106,129.60

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Solution

The fourth proportional to 137,233.60, 205,850.40 and 106,129.60 is: 159,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,233.60 : 205,850.40 = 106,129.60 : x
  2. Step 2: Convert to fraction form
    137,233.60/205,850.40 = 106,129.60/x
  3. Step 3: Cross multiply
    137,233.60x = 205,850.40 × 106,129.60
  4. Step 4: Simplify right side
    137,233.60x = 21,846,820,611.84
  5. Step 5: Solve for x
    x = 21,846,820,611.84/137,233.60
  6. Step 6: Final answer
    x = 159,194.40

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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.