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Finding the Fourth Proportional to 193,090.40, 289,635.60 and 122,231.60

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Solution

The fourth proportional to 193,090.40, 289,635.60 and 122,231.60 is: 183,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,090.40 : 289,635.60 = 122,231.60 : x
  2. Step 2: Convert to fraction form
    193,090.40/289,635.60 = 122,231.60/x
  3. Step 3: Cross multiply
    193,090.40x = 289,635.60 × 122,231.60
  4. Step 4: Simplify right side
    193,090.40x = 35,402,622,804.96
  5. Step 5: Solve for x
    x = 35,402,622,804.96/193,090.40
  6. Step 6: Final answer
    x = 183,347.40

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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.