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Finding the Fourth Proportional to 225,958.42, 311,812.16 and 123,981.34

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Solution

The fourth proportional to 225,958.42, 311,812.16 and 123,981.34 is: 171,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,958.42 : 311,812.16 = 123,981.34 : x
  2. Step 2: Convert to fraction form
    225,958.42/311,812.16 = 123,981.34/x
  3. Step 3: Cross multiply
    225,958.42x = 311,812.16 × 123,981.34
  4. Step 4: Simplify right side
    225,958.42x = 38,658,889,425.09
  5. Step 5: Solve for x
    x = 38,658,889,425.09/225,958.42
  6. Step 6: Final answer
    x = 171,088.51

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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.