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Finding the Fourth Proportional to 54,750.76, 82,015.26 and 43,009

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Solution

The fourth proportional to 54,750.76, 82,015.26 and 43,009 is: 64,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750.76 : 82,015.26 = 43,009 : x
  2. Step 2: Convert to fraction form
    54,750.76/82,015.26 = 43,009/x
  3. Step 3: Cross multiply
    54,750.76x = 82,015.26 × 43,009
  4. Step 4: Simplify right side
    54,750.76x = 3,527,394,317.34
  5. Step 5: Solve for x
    x = 3,527,394,317.34/54,750.76
  6. Step 6: Final answer
    x = 64,426.40

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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.