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Finding the Fourth Proportional to 133,396.80, 199,852.20 and 105,500.40

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Solution

The fourth proportional to 133,396.80, 199,852.20 and 105,500.40 is: 158,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396.80 : 199,852.20 = 105,500.40 : x
  2. Step 2: Convert to fraction form
    133,396.80/199,852.20 = 105,500.40/x
  3. Step 3: Cross multiply
    133,396.80x = 199,852.20 × 105,500.40
  4. Step 4: Simplify right side
    133,396.80x = 21,084,487,040.88
  5. Step 5: Solve for x
    x = 21,084,487,040.88/133,396.80
  6. Step 6: Final answer
    x = 158,058.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.