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Finding the Fourth Proportional to 71,656.75, 98,885.60 and 39,824.97

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Solution

The fourth proportional to 71,656.75, 98,885.60 and 39,824.97 is: 54,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.75 : 98,885.60 = 39,824.97 : x
  2. Step 2: Convert to fraction form
    71,656.75/98,885.60 = 39,824.97/x
  3. Step 3: Cross multiply
    71,656.75x = 98,885.60 × 39,824.97
  4. Step 4: Simplify right side
    71,656.75x = 3,938,115,359.88
  5. Step 5: Solve for x
    x = 3,938,115,359.88/71,656.75
  6. Step 6: Final answer
    x = 54,958.05

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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.