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Finding the Fourth Proportional to 55,298.82, 82,945.50 and 20,235.76

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Solution

The fourth proportional to 55,298.82, 82,945.50 and 20,235.76 is: 30,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298.82 : 82,945.50 = 20,235.76 : x
  2. Step 2: Convert to fraction form
    55,298.82/82,945.50 = 20,235.76/x
  3. Step 3: Cross multiply
    55,298.82x = 82,945.50 × 20,235.76
  4. Step 4: Simplify right side
    55,298.82x = 1,678,465,231.08
  5. Step 5: Solve for x
    x = 1,678,465,231.08/55,298.82
  6. Step 6: Final answer
    x = 30,352.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.