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Finding the Fourth Proportional to 189,880.65, 284,571.81 and 139,725.90

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Solution

The fourth proportional to 189,880.65, 284,571.81 and 139,725.90 is: 209,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880.65 : 284,571.81 = 139,725.90 : x
  2. Step 2: Convert to fraction form
    189,880.65/284,571.81 = 139,725.90/x
  3. Step 3: Cross multiply
    189,880.65x = 284,571.81 × 139,725.90
  4. Step 4: Simplify right side
    189,880.65x = 39,762,052,266.88
  5. Step 5: Solve for x
    x = 39,762,052,266.88/189,880.65
  6. Step 6: Final answer
    x = 209,405.50

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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.