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Finding the Fourth Proportional to 202,690.56, 304,030.72 and 54,942.72

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Solution

The fourth proportional to 202,690.56, 304,030.72 and 54,942.72 is: 82,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,690.56 : 304,030.72 = 54,942.72 : x
  2. Step 2: Convert to fraction form
    202,690.56/304,030.72 = 54,942.72/x
  3. Step 3: Cross multiply
    202,690.56x = 304,030.72 × 54,942.72
  4. Step 4: Simplify right side
    202,690.56x = 16,704,274,720.36
  5. Step 5: Solve for x
    x = 16,704,274,720.36/202,690.56
  6. Step 6: Final answer
    x = 82,412.69

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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.