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Finding the Fourth Proportional to 75,996.30, 104,871.63 and 42,003.03

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Solution

The fourth proportional to 75,996.30, 104,871.63 and 42,003.03 is: 57,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996.30 : 104,871.63 = 42,003.03 : x
  2. Step 2: Convert to fraction form
    75,996.30/104,871.63 = 42,003.03/x
  3. Step 3: Cross multiply
    75,996.30x = 104,871.63 × 42,003.03
  4. Step 4: Simplify right side
    75,996.30x = 4,404,926,221.04
  5. Step 5: Solve for x
    x = 4,404,926,221.04/75,996.30
  6. Step 6: Final answer
    x = 57,962.38

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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.