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Finding the Fourth Proportional to 222,463.50, 307,000.80 and 121,861.50

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Solution

The fourth proportional to 222,463.50, 307,000.80 and 121,861.50 is: 168,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,463.50 : 307,000.80 = 121,861.50 : x
  2. Step 2: Convert to fraction form
    222,463.50/307,000.80 = 121,861.50/x
  3. Step 3: Cross multiply
    222,463.50x = 307,000.80 × 121,861.50
  4. Step 4: Simplify right side
    222,463.50x = 37,411,577,989.20
  5. Step 5: Solve for x
    x = 37,411,577,989.20/222,463.50
  6. Step 6: Final answer
    x = 168,169.51

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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.