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Finding the Fourth Proportional to 130,808, 196,213.84 and 37,313.76

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Solution

The fourth proportional to 130,808, 196,213.84 and 37,313.76 is: 55,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,808 : 196,213.84 = 37,313.76 : x
  2. Step 2: Convert to fraction form
    130,808/196,213.84 = 37,313.76/x
  3. Step 3: Cross multiply
    130,808x = 196,213.84 × 37,313.76
  4. Step 4: Simplify right side
    130,808x = 7,321,476,134.44
  5. Step 5: Solve for x
    x = 7,321,476,134.44/130,808
  6. Step 6: Final answer
    x = 55,971.16

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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.