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Finding the Fourth Proportional to 225,408.16, 311,063.80 and 123,440.32

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Solution

The fourth proportional to 225,408.16, 311,063.80 and 123,440.32 is: 170,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,408.16 : 311,063.80 = 123,440.32 : x
  2. Step 2: Convert to fraction form
    225,408.16/311,063.80 = 123,440.32/x
  3. Step 3: Cross multiply
    225,408.16x = 311,063.80 × 123,440.32
  4. Step 4: Simplify right side
    225,408.16x = 38,397,815,012.42
  5. Step 5: Solve for x
    x = 38,397,815,012.42/225,408.16
  6. Step 6: Final answer
    x = 170,347.94

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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.