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Finding the Fourth Proportional to 130,067.70, 195,101.55 and 100,543.20

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Solution

The fourth proportional to 130,067.70, 195,101.55 and 100,543.20 is: 150,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,067.70 : 195,101.55 = 100,543.20 : x
  2. Step 2: Convert to fraction form
    130,067.70/195,101.55 = 100,543.20/x
  3. Step 3: Cross multiply
    130,067.70x = 195,101.55 × 100,543.20
  4. Step 4: Simplify right side
    130,067.70x = 19,616,134,161.96
  5. Step 5: Solve for x
    x = 19,616,134,161.96/130,067.70
  6. Step 6: Final answer
    x = 150,814.80

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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.