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Finding the Fourth Proportional to 189,906.20, 284,859.30 and 119,047.40

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Solution

The fourth proportional to 189,906.20, 284,859.30 and 119,047.40 is: 178,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,906.20 : 284,859.30 = 119,047.40 : x
  2. Step 2: Convert to fraction form
    189,906.20/284,859.30 = 119,047.40/x
  3. Step 3: Cross multiply
    189,906.20x = 284,859.30 × 119,047.40
  4. Step 4: Simplify right side
    189,906.20x = 33,911,759,030.82
  5. Step 5: Solve for x
    x = 33,911,759,030.82/189,906.20
  6. Step 6: Final answer
    x = 178,571.10

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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.