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Finding the Fourth Proportional to 226,671.60, 339,715.80 and 137,830.80

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Solution

The fourth proportional to 226,671.60, 339,715.80 and 137,830.80 is: 206,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,671.60 : 339,715.80 = 137,830.80 : x
  2. Step 2: Convert to fraction form
    226,671.60/339,715.80 = 137,830.80/x
  3. Step 3: Cross multiply
    226,671.60x = 339,715.80 × 137,830.80
  4. Step 4: Simplify right side
    226,671.60x = 46,823,300,486.64
  5. Step 5: Solve for x
    x = 46,823,300,486.64/226,671.60
  6. Step 6: Final answer
    x = 206,568.89

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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.