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Finding the Fourth Proportional to 55,255, 82,882.74 and 18,319

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Solution

The fourth proportional to 55,255, 82,882.74 and 18,319 is: 27,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,255 : 82,882.74 = 18,319 : x
  2. Step 2: Convert to fraction form
    55,255/82,882.74 = 18,319/x
  3. Step 3: Cross multiply
    55,255x = 82,882.74 × 18,319
  4. Step 4: Simplify right side
    55,255x = 1,518,328,914.06
  5. Step 5: Solve for x
    x = 1,518,328,914.06/55,255
  6. Step 6: Final answer
    x = 27,478.58

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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.