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Finding the Fourth Proportional to 223,131.92, 307,846.02 and 142,605.90

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Solution

The fourth proportional to 223,131.92, 307,846.02 and 142,605.90 is: 196,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,131.92 : 307,846.02 = 142,605.90 : x
  2. Step 2: Convert to fraction form
    223,131.92/307,846.02 = 142,605.90/x
  3. Step 3: Cross multiply
    223,131.92x = 307,846.02 × 142,605.90
  4. Step 4: Simplify right side
    223,131.92x = 43,900,658,743.52
  5. Step 5: Solve for x
    x = 43,900,658,743.52/223,131.92
  6. Step 6: Final answer
    x = 196,747.55

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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.