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Finding the Fourth Proportional to 133,314.60, 199,971.90 and 115,429.80

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Solution

The fourth proportional to 133,314.60, 199,971.90 and 115,429.80 is: 173,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,314.60 : 199,971.90 = 115,429.80 : x
  2. Step 2: Convert to fraction form
    133,314.60/199,971.90 = 115,429.80/x
  3. Step 3: Cross multiply
    133,314.60x = 199,971.90 × 115,429.80
  4. Step 4: Simplify right side
    133,314.60x = 23,082,716,422.62
  5. Step 5: Solve for x
    x = 23,082,716,422.62/133,314.60
  6. Step 6: Final answer
    x = 173,144.70

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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.