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Finding the Fourth Proportional to 226,461.80, 339,827.10 and 86,234.60

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Solution

The fourth proportional to 226,461.80, 339,827.10 and 86,234.60 is: 129,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,461.80 : 339,827.10 = 86,234.60 : x
  2. Step 2: Convert to fraction form
    226,461.80/339,827.10 = 86,234.60/x
  3. Step 3: Cross multiply
    226,461.80x = 339,827.10 × 86,234.60
  4. Step 4: Simplify right side
    226,461.80x = 29,304,854,037.66
  5. Step 5: Solve for x
    x = 29,304,854,037.66/226,461.80
  6. Step 6: Final answer
    x = 129,403.08

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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.