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Finding the Fourth Proportional to 189,871.65, 284,558.33 and 139,716.90

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Solution

The fourth proportional to 189,871.65, 284,558.33 and 139,716.90 is: 209,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,871.65 : 284,558.33 = 139,716.90 : x
  2. Step 2: Convert to fraction form
    189,871.65/284,558.33 = 139,716.90/x
  3. Step 3: Cross multiply
    189,871.65x = 284,558.33 × 139,716.90
  4. Step 4: Simplify right side
    189,871.65x = 39,757,608,086.07
  5. Step 5: Solve for x
    x = 39,757,608,086.07/189,871.65
  6. Step 6: Final answer
    x = 209,392.02

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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.