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Finding the Fourth Proportional to 55,244.40, 82,878.60 and 20,184

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Solution

The fourth proportional to 55,244.40, 82,878.60 and 20,184 is: 30,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,244.40 : 82,878.60 = 20,184 : x
  2. Step 2: Convert to fraction form
    55,244.40/82,878.60 = 20,184/x
  3. Step 3: Cross multiply
    55,244.40x = 82,878.60 × 20,184
  4. Step 4: Simplify right side
    55,244.40x = 1,672,821,662.40
  5. Step 5: Solve for x
    x = 1,672,821,662.40/55,244.40
  6. Step 6: Final answer
    x = 30,280.38

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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.