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Finding the Fourth Proportional to 225,608.64, 311,339.91 and 134,968.41

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Solution

The fourth proportional to 225,608.64, 311,339.91 and 134,968.41 is: 186,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,608.64 : 311,339.91 = 134,968.41 : x
  2. Step 2: Convert to fraction form
    225,608.64/311,339.91 = 134,968.41/x
  3. Step 3: Cross multiply
    225,608.64x = 311,339.91 × 134,968.41
  4. Step 4: Simplify right side
    225,608.64x = 42,021,052,622.24
  5. Step 5: Solve for x
    x = 42,021,052,622.24/225,608.64
  6. Step 6: Final answer
    x = 186,256.40

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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.