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Finding the Fourth Proportional to 189,115.32, 260,975.40 and 104,232.39

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Solution

The fourth proportional to 189,115.32, 260,975.40 and 104,232.39 is: 143,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,115.32 : 260,975.40 = 104,232.39 : x
  2. Step 2: Convert to fraction form
    189,115.32/260,975.40 = 104,232.39/x
  3. Step 3: Cross multiply
    189,115.32x = 260,975.40 × 104,232.39
  4. Step 4: Simplify right side
    189,115.32x = 27,202,089,673.21
  5. Step 5: Solve for x
    x = 27,202,089,673.21/189,115.32
  6. Step 6: Final answer
    x = 143,838.64

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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.