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Finding the Fourth Proportional to 135,986.40, 204,022.80 and 61,077.60

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Solution

The fourth proportional to 135,986.40, 204,022.80 and 61,077.60 is: 91,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,986.40 : 204,022.80 = 61,077.60 : x
  2. Step 2: Convert to fraction form
    135,986.40/204,022.80 = 61,077.60/x
  3. Step 3: Cross multiply
    135,986.40x = 204,022.80 × 61,077.60
  4. Step 4: Simplify right side
    135,986.40x = 12,461,222,969.28
  5. Step 5: Solve for x
    x = 12,461,222,969.28/135,986.40
  6. Step 6: Final answer
    x = 91,635.80

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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.