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Finding the Fourth Proportional to 55,276, 82,914.24 and 18,340

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Solution

The fourth proportional to 55,276, 82,914.24 and 18,340 is: 27,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,276 : 82,914.24 = 18,340 : x
  2. Step 2: Convert to fraction form
    55,276/82,914.24 = 18,340/x
  3. Step 3: Cross multiply
    55,276x = 82,914.24 × 18,340
  4. Step 4: Simplify right side
    55,276x = 1,520,647,161.60
  5. Step 5: Solve for x
    x = 1,520,647,161.60/55,276
  6. Step 6: Final answer
    x = 27,510.08

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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.