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Finding the Fourth Proportional to 273,958.20, 411,002.10 and 86,969.70

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Solution

The fourth proportional to 273,958.20, 411,002.10 and 86,969.70 is: 130,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,958.20 : 411,002.10 = 86,969.70 : x
  2. Step 2: Convert to fraction form
    273,958.20/411,002.10 = 86,969.70/x
  3. Step 3: Cross multiply
    273,958.20x = 411,002.10 × 86,969.70
  4. Step 4: Simplify right side
    273,958.20x = 35,744,729,336.37
  5. Step 5: Solve for x
    x = 35,744,729,336.37/273,958.20
  6. Step 6: Final answer
    x = 130,475.12

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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.