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Finding the Fourth Proportional to 189,808.32, 284,739.84 and 71,523.84

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Solution

The fourth proportional to 189,808.32, 284,739.84 and 71,523.84 is: 107,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,808.32 : 284,739.84 = 71,523.84 : x
  2. Step 2: Convert to fraction form
    189,808.32/284,739.84 = 71,523.84/x
  3. Step 3: Cross multiply
    189,808.32x = 284,739.84 × 71,523.84
  4. Step 4: Simplify right side
    189,808.32x = 20,365,686,757.79
  5. Step 5: Solve for x
    x = 20,365,686,757.79/189,808.32
  6. Step 6: Final answer
    x = 107,296.07

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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.