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Finding the Fourth Proportional to 130,213.80, 195,320.70 and 71,164.80

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Solution

The fourth proportional to 130,213.80, 195,320.70 and 71,164.80 is: 106,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,213.80 : 195,320.70 = 71,164.80 : x
  2. Step 2: Convert to fraction form
    130,213.80/195,320.70 = 71,164.80/x
  3. Step 3: Cross multiply
    130,213.80x = 195,320.70 × 71,164.80
  4. Step 4: Simplify right side
    130,213.80x = 13,899,958,551.36
  5. Step 5: Solve for x
    x = 13,899,958,551.36/130,213.80
  6. Step 6: Final answer
    x = 106,747.20

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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.