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Finding the Fourth Proportional to 223,425, 308,326.50 and 122,823

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Solution

The fourth proportional to 223,425, 308,326.50 and 122,823 is: 169,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,425 : 308,326.50 = 122,823 : x
  2. Step 2: Convert to fraction form
    223,425/308,326.50 = 122,823/x
  3. Step 3: Cross multiply
    223,425x = 308,326.50 × 122,823
  4. Step 4: Simplify right side
    223,425x = 37,869,585,709.50
  5. Step 5: Solve for x
    x = 37,869,585,709.50/223,425
  6. Step 6: Final answer
    x = 169,495.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.