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Finding the Fourth Proportional to 53,573.28, 73,930.55 and 30,912

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Solution

The fourth proportional to 53,573.28, 73,930.55 and 30,912 is: 42,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,573.28 : 73,930.55 = 30,912 : x
  2. Step 2: Convert to fraction form
    53,573.28/73,930.55 = 30,912/x
  3. Step 3: Cross multiply
    53,573.28x = 73,930.55 × 30,912
  4. Step 4: Simplify right side
    53,573.28x = 2,285,341,007.04
  5. Step 5: Solve for x
    x = 2,285,341,007.04/53,573.28
  6. Step 6: Final answer
    x = 42,658.22

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Why These Related Problems?

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