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Finding the Fourth Proportional to 130,800, 196,201.86 and 37,305.78

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Solution

The fourth proportional to 130,800, 196,201.86 and 37,305.78 is: 55,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,800 : 196,201.86 = 37,305.78 : x
  2. Step 2: Convert to fraction form
    130,800/196,201.86 = 37,305.78/x
  3. Step 3: Cross multiply
    130,800x = 196,201.86 × 37,305.78
  4. Step 4: Simplify right side
    130,800x = 7,319,463,424.75
  5. Step 5: Solve for x
    x = 7,319,463,424.75/130,800
  6. Step 6: Final answer
    x = 55,959.20

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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.