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Finding the Fourth Proportional to 53,865, 74,342.34 and 31,504.68

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Solution

The fourth proportional to 53,865, 74,342.34 and 31,504.68 is: 43,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,865 : 74,342.34 = 31,504.68 : x
  2. Step 2: Convert to fraction form
    53,865/74,342.34 = 31,504.68/x
  3. Step 3: Cross multiply
    53,865x = 74,342.34 × 31,504.68
  4. Step 4: Simplify right side
    53,865x = 2,342,131,632.15
  5. Step 5: Solve for x
    x = 2,342,131,632.15/53,865
  6. Step 6: Final answer
    x = 43,481.51

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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.