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Finding the Fourth Proportional to 231,676.80, 319,723.20 and 142,281.60

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Solution

The fourth proportional to 231,676.80, 319,723.20 and 142,281.60 is: 196,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,676.80 : 319,723.20 = 142,281.60 : x
  2. Step 2: Convert to fraction form
    231,676.80/319,723.20 = 142,281.60/x
  3. Step 3: Cross multiply
    231,676.80x = 319,723.20 × 142,281.60
  4. Step 4: Simplify right side
    231,676.80x = 45,490,728,453.12
  5. Step 5: Solve for x
    x = 45,490,728,453.12/231,676.80
  6. Step 6: Final answer
    x = 196,354.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.