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Finding the Fourth Proportional to 226,438.60, 339,647.10 and 76,664.20

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Solution

The fourth proportional to 226,438.60, 339,647.10 and 76,664.20 is: 114,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,438.60 : 339,647.10 = 76,664.20 : x
  2. Step 2: Convert to fraction form
    226,438.60/339,647.10 = 76,664.20/x
  3. Step 3: Cross multiply
    226,438.60x = 339,647.10 × 76,664.20
  4. Step 4: Simplify right side
    226,438.60x = 26,038,773,203.82
  5. Step 5: Solve for x
    x = 26,038,773,203.82/226,438.60
  6. Step 6: Final answer
    x = 114,992.64

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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.