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Finding the Fourth Proportional to 54,321.50, 81,478.56 and 14,879

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Solution

The fourth proportional to 54,321.50, 81,478.56 and 14,879 is: 22,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321.50 : 81,478.56 = 14,879 : x
  2. Step 2: Convert to fraction form
    54,321.50/81,478.56 = 14,879/x
  3. Step 3: Cross multiply
    54,321.50x = 81,478.56 × 14,879
  4. Step 4: Simplify right side
    54,321.50x = 1,212,319,494.24
  5. Step 5: Solve for x
    x = 1,212,319,494.24/54,321.50
  6. Step 6: Final answer
    x = 22,317.49

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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.