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Finding the Fourth Proportional to 189,388.94, 283,812.75 and 139,074.32

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Solution

The fourth proportional to 189,388.94, 283,812.75 and 139,074.32 is: 208,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,388.94 : 283,812.75 = 139,074.32 : x
  2. Step 2: Convert to fraction form
    189,388.94/283,812.75 = 139,074.32/x
  3. Step 3: Cross multiply
    189,388.94x = 283,812.75 × 139,074.32
  4. Step 4: Simplify right side
    189,388.94x = 39,471,065,213.58
  5. Step 5: Solve for x
    x = 39,471,065,213.58/189,388.94
  6. Step 6: Final answer
    x = 208,412.73

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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.