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Finding the Fourth Proportional to 189,880.64, 284,571.84 and 139,725.92

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Solution

The fourth proportional to 189,880.64, 284,571.84 and 139,725.92 is: 209,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880.64 : 284,571.84 = 139,725.92 : x
  2. Step 2: Convert to fraction form
    189,880.64/284,571.84 = 139,725.92/x
  3. Step 3: Cross multiply
    189,880.64x = 284,571.84 × 139,725.92
  4. Step 4: Simplify right side
    189,880.64x = 39,762,062,150.09
  5. Step 5: Solve for x
    x = 39,762,062,150.09/189,880.64
  6. Step 6: Final answer
    x = 209,405.56

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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.