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Finding the Fourth Proportional to 90,415.40, 135,644.70 and 43,629.80

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Solution

The fourth proportional to 90,415.40, 135,644.70 and 43,629.80 is: 65,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,415.40 : 135,644.70 = 43,629.80 : x
  2. Step 2: Convert to fraction form
    90,415.40/135,644.70 = 43,629.80/x
  3. Step 3: Cross multiply
    90,415.40x = 135,644.70 × 43,629.80
  4. Step 4: Simplify right side
    90,415.40x = 5,918,151,132.06
  5. Step 5: Solve for x
    x = 5,918,151,132.06/90,415.40
  6. Step 6: Final answer
    x = 65,455.12

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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.