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Finding the Fourth Proportional to 55,243.40, 82,865 and 13,690.40

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Solution

The fourth proportional to 55,243.40, 82,865 and 13,690.40 is: 20,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.40 : 82,865 = 13,690.40 : x
  2. Step 2: Convert to fraction form
    55,243.40/82,865 = 13,690.40/x
  3. Step 3: Cross multiply
    55,243.40x = 82,865 × 13,690.40
  4. Step 4: Simplify right side
    55,243.40x = 1,134,454,996
  5. Step 5: Solve for x
    x = 1,134,454,996/55,243.40
  6. Step 6: Final answer
    x = 20,535.58

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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.