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Finding the Fourth Proportional to 231,030.09, 345,819.11 and 146,885.27

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Solution

The fourth proportional to 231,030.09, 345,819.11 and 146,885.27 is: 219,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,030.09 : 345,819.11 = 146,885.27 : x
  2. Step 2: Convert to fraction form
    231,030.09/345,819.11 = 146,885.27/x
  3. Step 3: Cross multiply
    231,030.09x = 345,819.11 × 146,885.27
  4. Step 4: Simplify right side
    231,030.09x = 50,795,730,879.99
  5. Step 5: Solve for x
    x = 50,795,730,879.99/231,030.09
  6. Step 6: Final answer
    x = 219,866.30

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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.