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Finding the Fourth Proportional to 130,809, 196,215.39 and 37,314.75

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Solution

The fourth proportional to 130,809, 196,215.39 and 37,314.75 is: 55,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,809 : 196,215.39 = 37,314.75 : x
  2. Step 2: Convert to fraction form
    130,809/196,215.39 = 37,314.75/x
  3. Step 3: Cross multiply
    130,809x = 196,215.39 × 37,314.75
  4. Step 4: Simplify right side
    130,809x = 7,321,728,224.00
  5. Step 5: Solve for x
    x = 7,321,728,224.00/130,809
  6. Step 6: Final answer
    x = 55,972.66

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1.5x scale

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.