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Finding the Fourth Proportional to 82,678, 124,017 and 20,348.50

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Solution

The fourth proportional to 82,678, 124,017 and 20,348.50 is: 30,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,678 : 124,017 = 20,348.50 : x
  2. Step 2: Convert to fraction form
    82,678/124,017 = 20,348.50/x
  3. Step 3: Cross multiply
    82,678x = 124,017 × 20,348.50
  4. Step 4: Simplify right side
    82,678x = 2,523,559,924.50
  5. Step 5: Solve for x
    x = 2,523,559,924.50/82,678
  6. Step 6: Final answer
    x = 30,522.75

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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.