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Finding the Fourth Proportional to 55,260.88, 82,902.84 and 18,322

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Solution

The fourth proportional to 55,260.88, 82,902.84 and 18,322 is: 27,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,260.88 : 82,902.84 = 18,322 : x
  2. Step 2: Convert to fraction form
    55,260.88/82,902.84 = 18,322/x
  3. Step 3: Cross multiply
    55,260.88x = 82,902.84 × 18,322
  4. Step 4: Simplify right side
    55,260.88x = 1,518,945,834.48
  5. Step 5: Solve for x
    x = 1,518,945,834.48/55,260.88
  6. Step 6: Final answer
    x = 27,486.82

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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.