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Finding the Fourth Proportional to 130,938.92, 196,404.48 and 36,174.78

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Solution

The fourth proportional to 130,938.92, 196,404.48 and 36,174.78 is: 54,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,938.92 : 196,404.48 = 36,174.78 : x
  2. Step 2: Convert to fraction form
    130,938.92/196,404.48 = 36,174.78/x
  3. Step 3: Cross multiply
    130,938.92x = 196,404.48 × 36,174.78
  4. Step 4: Simplify right side
    130,938.92x = 7,104,888,855.01
  5. Step 5: Solve for x
    x = 7,104,888,855.01/130,938.92
  6. Step 6: Final answer
    x = 54,261.09

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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.