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Finding the Fourth Proportional to 99,974.68, 137,965.32 and 54,653.20

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Solution

The fourth proportional to 99,974.68, 137,965.32 and 54,653.20 is: 75,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,974.68 : 137,965.32 = 54,653.20 : x
  2. Step 2: Convert to fraction form
    99,974.68/137,965.32 = 54,653.20/x
  3. Step 3: Cross multiply
    99,974.68x = 137,965.32 × 54,653.20
  4. Step 4: Simplify right side
    99,974.68x = 7,540,246,227.02
  5. Step 5: Solve for x
    x = 7,540,246,227.02/99,974.68
  6. Step 6: Final answer
    x = 75,421.56

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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.