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Finding the Fourth Proportional to 226,150.76, 339,381.64 and 78,406.76

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Solution

The fourth proportional to 226,150.76, 339,381.64 and 78,406.76 is: 117,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,150.76 : 339,381.64 = 78,406.76 : x
  2. Step 2: Convert to fraction form
    226,150.76/339,381.64 = 78,406.76/x
  3. Step 3: Cross multiply
    226,150.76x = 339,381.64 × 78,406.76
  4. Step 4: Simplify right side
    226,150.76x = 26,609,814,795.89
  5. Step 5: Solve for x
    x = 26,609,814,795.89/226,150.76
  6. Step 6: Final answer
    x = 117,664.05

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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.