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Finding the Fourth Proportional to 130,186, 195,279.04 and 31,690

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Solution

The fourth proportional to 130,186, 195,279.04 and 31,690 is: 47,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,186 : 195,279.04 = 31,690 : x
  2. Step 2: Convert to fraction form
    130,186/195,279.04 = 31,690/x
  3. Step 3: Cross multiply
    130,186x = 195,279.04 × 31,690
  4. Step 4: Simplify right side
    130,186x = 6,188,392,777.60
  5. Step 5: Solve for x
    x = 6,188,392,777.60/130,186
  6. Step 6: Final answer
    x = 47,535.01

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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.