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Finding the Fourth Proportional to 231,100.80, 347,234.40 and 146,901.30

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Solution

The fourth proportional to 231,100.80, 347,234.40 and 146,901.30 is: 220,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,100.80 : 347,234.40 = 146,901.30 : x
  2. Step 2: Convert to fraction form
    231,100.80/347,234.40 = 146,901.30/x
  3. Step 3: Cross multiply
    231,100.80x = 347,234.40 × 146,901.30
  4. Step 4: Simplify right side
    231,100.80x = 51,009,184,764.72
  5. Step 5: Solve for x
    x = 51,009,184,764.72/231,100.80
  6. Step 6: Final answer
    x = 220,722.67

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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.