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Finding the Fourth Proportional to 54,321.64, 81,431.43 and 28,019.32

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Solution

The fourth proportional to 54,321.64, 81,431.43 and 28,019.32 is: 42,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321.64 : 81,431.43 = 28,019.32 : x
  2. Step 2: Convert to fraction form
    54,321.64/81,431.43 = 28,019.32/x
  3. Step 3: Cross multiply
    54,321.64x = 81,431.43 × 28,019.32
  4. Step 4: Simplify right side
    54,321.64x = 2,281,652,986.58
  5. Step 5: Solve for x
    x = 2,281,652,986.58/54,321.64
  6. Step 6: Final answer
    x = 42,002.65

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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.