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Finding the Fourth Proportional to 82,011.50, 113,184.42 and 50,201.60

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Solution

The fourth proportional to 82,011.50, 113,184.42 and 50,201.60 is: 69,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.50 : 113,184.42 = 50,201.60 : x
  2. Step 2: Convert to fraction form
    82,011.50/113,184.42 = 50,201.60/x
  3. Step 3: Cross multiply
    82,011.50x = 113,184.42 × 50,201.60
  4. Step 4: Simplify right side
    82,011.50x = 5,682,038,979.07
  5. Step 5: Solve for x
    x = 5,682,038,979.07/82,011.50
  6. Step 6: Final answer
    x = 69,283.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.