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Finding the Fourth Proportional to 189,873.77, 284,643.03 and 71,628.14

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Solution

The fourth proportional to 189,873.77, 284,643.03 and 71,628.14 is: 107,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,873.77 : 284,643.03 = 71,628.14 : x
  2. Step 2: Convert to fraction form
    189,873.77/284,643.03 = 71,628.14/x
  3. Step 3: Cross multiply
    189,873.77x = 284,643.03 × 71,628.14
  4. Step 4: Simplify right side
    189,873.77x = 20,388,451,783.08
  5. Step 5: Solve for x
    x = 20,388,451,783.08/189,873.77
  6. Step 6: Final answer
    x = 107,378.98

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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.