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Finding the Fourth Proportional to 223,156.50, 307,958.40 and 122,554.50

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Solution

The fourth proportional to 223,156.50, 307,958.40 and 122,554.50 is: 169,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,156.50 : 307,958.40 = 122,554.50 : x
  2. Step 2: Convert to fraction form
    223,156.50/307,958.40 = 122,554.50/x
  3. Step 3: Cross multiply
    223,156.50x = 307,958.40 × 122,554.50
  4. Step 4: Simplify right side
    223,156.50x = 37,741,687,732.80
  5. Step 5: Solve for x
    x = 37,741,687,732.80/223,156.50
  6. Step 6: Final answer
    x = 169,126.54

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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.