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Finding the Fourth Proportional to 75,999.82, 113,938.30 and 31,659.88

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Solution

The fourth proportional to 75,999.82, 113,938.30 and 31,659.88 is: 47,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.82 : 113,938.30 = 31,659.88 : x
  2. Step 2: Convert to fraction form
    75,999.82/113,938.30 = 31,659.88/x
  3. Step 3: Cross multiply
    75,999.82x = 113,938.30 × 31,659.88
  4. Step 4: Simplify right side
    75,999.82x = 3,607,272,905.40
  5. Step 5: Solve for x
    x = 3,607,272,905.40/75,999.82
  6. Step 6: Final answer
    x = 47,464.23

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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.