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Finding the Fourth Proportional to 55,278.67, 82,918.02 and 20,199.19

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Solution

The fourth proportional to 55,278.67, 82,918.02 and 20,199.19 is: 30,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278.67 : 82,918.02 = 20,199.19 : x
  2. Step 2: Convert to fraction form
    55,278.67/82,918.02 = 20,199.19/x
  3. Step 3: Cross multiply
    55,278.67x = 82,918.02 × 20,199.19
  4. Step 4: Simplify right side
    55,278.67x = 1,674,876,840.40
  5. Step 5: Solve for x
    x = 1,674,876,840.40/55,278.67
  6. Step 6: Final answer
    x = 30,298.79

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Why These Related Problems?

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