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Finding the Fourth Proportional to 55,266, 82,903.32 and 18,330

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Solution

The fourth proportional to 55,266, 82,903.32 and 18,330 is: 27,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,266 : 82,903.32 = 18,330 : x
  2. Step 2: Convert to fraction form
    55,266/82,903.32 = 18,330/x
  3. Step 3: Cross multiply
    55,266x = 82,903.32 × 18,330
  4. Step 4: Simplify right side
    55,266x = 1,519,617,855.60
  5. Step 5: Solve for x
    x = 1,519,617,855.60/55,266
  6. Step 6: Final answer
    x = 27,496.43

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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.