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Finding the Fourth Proportional to 53,576.28, 73,934.67 and 30,915

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Solution

The fourth proportional to 53,576.28, 73,934.67 and 30,915 is: 42,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,576.28 : 73,934.67 = 30,915 : x
  2. Step 2: Convert to fraction form
    53,576.28/73,934.67 = 30,915/x
  3. Step 3: Cross multiply
    53,576.28x = 73,934.67 × 30,915
  4. Step 4: Simplify right side
    53,576.28x = 2,285,690,323.05
  5. Step 5: Solve for x
    x = 2,285,690,323.05/53,576.28
  6. Step 6: Final answer
    x = 42,662.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.