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Finding the Fourth Proportional to 138,346.44, 190,842.66 and 120,409.80

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Solution

The fourth proportional to 138,346.44, 190,842.66 and 120,409.80 is: 166,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,346.44 : 190,842.66 = 120,409.80 : x
  2. Step 2: Convert to fraction form
    138,346.44/190,842.66 = 120,409.80/x
  3. Step 3: Cross multiply
    138,346.44x = 190,842.66 × 120,409.80
  4. Step 4: Simplify right side
    138,346.44x = 22,979,326,522.07
  5. Step 5: Solve for x
    x = 22,979,326,522.07/138,346.44
  6. Step 6: Final answer
    x = 166,099.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.