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Finding the Fourth Proportional to 130,983.78, 196,474.86 and 37,489.80

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Solution

The fourth proportional to 130,983.78, 196,474.86 and 37,489.80 is: 56,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,983.78 : 196,474.86 = 37,489.80 : x
  2. Step 2: Convert to fraction form
    130,983.78/196,474.86 = 37,489.80/x
  3. Step 3: Cross multiply
    130,983.78x = 196,474.86 × 37,489.80
  4. Step 4: Simplify right side
    130,983.78x = 7,365,803,206.43
  5. Step 5: Solve for x
    x = 7,365,803,206.43/130,983.78
  6. Step 6: Final answer
    x = 56,234.47

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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.