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Finding the Fourth Proportional to 130,950, 196,425 and 57,078

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Solution

The fourth proportional to 130,950, 196,425 and 57,078 is: 85,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,950 : 196,425 = 57,078 : x
  2. Step 2: Convert to fraction form
    130,950/196,425 = 57,078/x
  3. Step 3: Cross multiply
    130,950x = 196,425 × 57,078
  4. Step 4: Simplify right side
    130,950x = 11,211,546,150
  5. Step 5: Solve for x
    x = 11,211,546,150/130,950
  6. Step 6: Final answer
    x = 85,617

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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.