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Finding the Fourth Proportional to 98,404, 135,796.80 and 55,962.48

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Solution

The fourth proportional to 98,404, 135,796.80 and 55,962.48 is: 77,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,404 : 135,796.80 = 55,962.48 : x
  2. Step 2: Convert to fraction form
    98,404/135,796.80 = 55,962.48/x
  3. Step 3: Cross multiply
    98,404x = 135,796.80 × 55,962.48
  4. Step 4: Simplify right side
    98,404x = 7,599,525,704.06
  5. Step 5: Solve for x
    x = 7,599,525,704.06/98,404
  6. Step 6: Final answer
    x = 77,227.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.