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Finding the Fourth Proportional to 55,021, 82,532.60 and 18,085

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Solution

The fourth proportional to 55,021, 82,532.60 and 18,085 is: 27,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,021 : 82,532.60 = 18,085 : x
  2. Step 2: Convert to fraction form
    55,021/82,532.60 = 18,085/x
  3. Step 3: Cross multiply
    55,021x = 82,532.60 × 18,085
  4. Step 4: Simplify right side
    55,021x = 1,492,602,071
  5. Step 5: Solve for x
    x = 1,492,602,071/55,021
  6. Step 6: Final answer
    x = 27,127.86

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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.