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Finding the Fourth Proportional to 53,789.63, 74,229.68 and 31,433.63

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Solution

The fourth proportional to 53,789.63, 74,229.68 and 31,433.63 is: 43,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,789.63 : 74,229.68 = 31,433.63 : x
  2. Step 2: Convert to fraction form
    53,789.63/74,229.68 = 31,433.63/x
  3. Step 3: Cross multiply
    53,789.63x = 74,229.68 × 31,433.63
  4. Step 4: Simplify right side
    53,789.63x = 2,333,308,003.57
  5. Step 5: Solve for x
    x = 2,333,308,003.57/53,789.63
  6. Step 6: Final answer
    x = 43,378.40

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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.