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Finding the Fourth Proportional to 225,944.21, 311,802.87 and 123,970.32

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Solution

The fourth proportional to 225,944.21, 311,802.87 and 123,970.32 is: 171,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,944.21 : 311,802.87 = 123,970.32 : x
  2. Step 2: Convert to fraction form
    225,944.21/311,802.87 = 123,970.32/x
  3. Step 3: Cross multiply
    225,944.21x = 311,802.87 × 123,970.32
  4. Step 4: Simplify right side
    225,944.21x = 38,654,302,215.32
  5. Step 5: Solve for x
    x = 38,654,302,215.32/225,944.21
  6. Step 6: Final answer
    x = 171,078.97

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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.