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Finding the Fourth Proportional to 135,744.40, 204,005.40 and 118,637.20

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Solution

The fourth proportional to 135,744.40, 204,005.40 and 118,637.20 is: 178,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744.40 : 204,005.40 = 118,637.20 : x
  2. Step 2: Convert to fraction form
    135,744.40/204,005.40 = 118,637.20/x
  3. Step 3: Cross multiply
    135,744.40x = 204,005.40 × 118,637.20
  4. Step 4: Simplify right side
    135,744.40x = 24,202,629,440.88
  5. Step 5: Solve for x
    x = 24,202,629,440.88/135,744.40
  6. Step 6: Final answer
    x = 178,295.60

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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.