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Finding the Fourth Proportional to 53,758.58, 74,202.30 and 31,112.88

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Solution

The fourth proportional to 53,758.58, 74,202.30 and 31,112.88 is: 42,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758.58 : 74,202.30 = 31,112.88 : x
  2. Step 2: Convert to fraction form
    53,758.58/74,202.30 = 31,112.88/x
  3. Step 3: Cross multiply
    53,758.58x = 74,202.30 × 31,112.88
  4. Step 4: Simplify right side
    53,758.58x = 2,308,647,221.39
  5. Step 5: Solve for x
    x = 2,308,647,221.39/53,758.58
  6. Step 6: Final answer
    x = 42,944.72

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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.