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Finding the Fourth Proportional to 51,214.80, 76,841.40 and 20,072.40

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Solution

The fourth proportional to 51,214.80, 76,841.40 and 20,072.40 is: 30,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214.80 : 76,841.40 = 20,072.40 : x
  2. Step 2: Convert to fraction form
    51,214.80/76,841.40 = 20,072.40/x
  3. Step 3: Cross multiply
    51,214.80x = 76,841.40 × 20,072.40
  4. Step 4: Simplify right side
    51,214.80x = 1,542,391,317.36
  5. Step 5: Solve for x
    x = 1,542,391,317.36/51,214.80
  6. Step 6: Final answer
    x = 30,116.12

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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.