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Finding the Fourth Proportional to 148,170, 204,401.64 and 100,438.32

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Solution

The fourth proportional to 148,170, 204,401.64 and 100,438.32 is: 138,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,170 : 204,401.64 = 100,438.32 : x
  2. Step 2: Convert to fraction form
    148,170/204,401.64 = 100,438.32/x
  3. Step 3: Cross multiply
    148,170x = 204,401.64 × 100,438.32
  4. Step 4: Simplify right side
    148,170x = 20,529,757,326.84
  5. Step 5: Solve for x
    x = 20,529,757,326.84/148,170
  6. Step 6: Final answer
    x = 138,555.43

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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.