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Finding the Fourth Proportional to 229,903.92, 344,739.24 and 105,138

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Solution

The fourth proportional to 229,903.92, 344,739.24 and 105,138 is: 157,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,903.92 : 344,739.24 = 105,138 : x
  2. Step 2: Convert to fraction form
    229,903.92/344,739.24 = 105,138/x
  3. Step 3: Cross multiply
    229,903.92x = 344,739.24 × 105,138
  4. Step 4: Simplify right side
    229,903.92x = 36,245,194,215.12
  5. Step 5: Solve for x
    x = 36,245,194,215.12/229,903.92
  6. Step 6: Final answer
    x = 157,653.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.