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Finding the Fourth Proportional to 223,163.50, 307,968.06 and 122,561.50

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Solution

The fourth proportional to 223,163.50, 307,968.06 and 122,561.50 is: 169,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,163.50 : 307,968.06 = 122,561.50 : x
  2. Step 2: Convert to fraction form
    223,163.50/307,968.06 = 122,561.50/x
  3. Step 3: Cross multiply
    223,163.50x = 307,968.06 × 122,561.50
  4. Step 4: Simplify right side
    223,163.50x = 37,745,027,385.69
  5. Step 5: Solve for x
    x = 37,745,027,385.69/223,163.50
  6. Step 6: Final answer
    x = 169,136.20

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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.