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Finding the Fourth Proportional to 227,321.90, 340,982.85 and 138,748.40

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Solution

The fourth proportional to 227,321.90, 340,982.85 and 138,748.40 is: 208,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,321.90 : 340,982.85 = 138,748.40 : x
  2. Step 2: Convert to fraction form
    227,321.90/340,982.85 = 138,748.40/x
  3. Step 3: Cross multiply
    227,321.90x = 340,982.85 × 138,748.40
  4. Step 4: Simplify right side
    227,321.90x = 47,310,824,864.94
  5. Step 5: Solve for x
    x = 47,310,824,864.94/227,321.90
  6. Step 6: Final answer
    x = 208,122.60

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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.