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Finding the Fourth Proportional to 53,074.80, 73,243.08 and 31,854

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Solution

The fourth proportional to 53,074.80, 73,243.08 and 31,854 is: 43,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,074.80 : 73,243.08 = 31,854 : x
  2. Step 2: Convert to fraction form
    53,074.80/73,243.08 = 31,854/x
  3. Step 3: Cross multiply
    53,074.80x = 73,243.08 × 31,854
  4. Step 4: Simplify right side
    53,074.80x = 2,333,085,070.32
  5. Step 5: Solve for x
    x = 2,333,085,070.32/53,074.80
  6. Step 6: Final answer
    x = 43,958.43

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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.