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Finding the Fourth Proportional to 54,879.34, 82,319.01 and 19,819.03

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Solution

The fourth proportional to 54,879.34, 82,319.01 and 19,819.03 is: 29,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,879.34 : 82,319.01 = 19,819.03 : x
  2. Step 2: Convert to fraction form
    54,879.34/82,319.01 = 19,819.03/x
  3. Step 3: Cross multiply
    54,879.34x = 82,319.01 × 19,819.03
  4. Step 4: Simplify right side
    54,879.34x = 1,631,482,928.76
  5. Step 5: Solve for x
    x = 1,631,482,928.76/54,879.34
  6. Step 6: Final answer
    x = 29,728.55

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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.