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Finding the Fourth Proportional to 193,004.20, 289,491.90 and 80,655.40

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Solution

The fourth proportional to 193,004.20, 289,491.90 and 80,655.40 is: 120,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,004.20 : 289,491.90 = 80,655.40 : x
  2. Step 2: Convert to fraction form
    193,004.20/289,491.90 = 80,655.40/x
  3. Step 3: Cross multiply
    193,004.20x = 289,491.90 × 80,655.40
  4. Step 4: Simplify right side
    193,004.20x = 23,349,084,991.26
  5. Step 5: Solve for x
    x = 23,349,084,991.26/193,004.20
  6. Step 6: Final answer
    x = 120,977.08

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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.