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Finding the Fourth Proportional to 135,266.40, 202,928.40 and 41,781.60

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Solution

The fourth proportional to 135,266.40, 202,928.40 and 41,781.60 is: 62,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,266.40 : 202,928.40 = 41,781.60 : x
  2. Step 2: Convert to fraction form
    135,266.40/202,928.40 = 41,781.60/x
  3. Step 3: Cross multiply
    135,266.40x = 202,928.40 × 41,781.60
  4. Step 4: Simplify right side
    135,266.40x = 8,478,673,237.44
  5. Step 5: Solve for x
    x = 8,478,673,237.44/135,266.40
  6. Step 6: Final answer
    x = 62,681.30

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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.