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Finding the Fourth Proportional to 188,119.56, 282,187.98 and 47,879.40

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Solution

The fourth proportional to 188,119.56, 282,187.98 and 47,879.40 is: 71,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,119.56 : 282,187.98 = 47,879.40 : x
  2. Step 2: Convert to fraction form
    188,119.56/282,187.98 = 47,879.40/x
  3. Step 3: Cross multiply
    188,119.56x = 282,187.98 × 47,879.40
  4. Step 4: Simplify right side
    188,119.56x = 13,510,991,169.61
  5. Step 5: Solve for x
    x = 13,510,991,169.61/188,119.56
  6. Step 6: Final answer
    x = 71,821.30

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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.