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Finding the Fourth Proportional to 57,196.50, 85,807.72 and 20,260.50

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Solution

The fourth proportional to 57,196.50, 85,807.72 and 20,260.50 is: 30,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.50 : 85,807.72 = 20,260.50 : x
  2. Step 2: Convert to fraction form
    57,196.50/85,807.72 = 20,260.50/x
  3. Step 3: Cross multiply
    57,196.50x = 85,807.72 × 20,260.50
  4. Step 4: Simplify right side
    57,196.50x = 1,738,507,311.06
  5. Step 5: Solve for x
    x = 1,738,507,311.06/57,196.50
  6. Step 6: Final answer
    x = 30,395.34

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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.