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Finding the Fourth Proportional to 225,981.74, 311,858.44 and 130,496.78

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Solution

The fourth proportional to 225,981.74, 311,858.44 and 130,496.78 is: 180,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,981.74 : 311,858.44 = 130,496.78 : x
  2. Step 2: Convert to fraction form
    225,981.74/311,858.44 = 130,496.78/x
  3. Step 3: Cross multiply
    225,981.74x = 311,858.44 × 130,496.78
  4. Step 4: Simplify right side
    225,981.74x = 40,696,522,235.82
  5. Step 5: Solve for x
    x = 40,696,522,235.82/225,981.74
  6. Step 6: Final answer
    x = 180,087.66

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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.