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Finding the Fourth Proportional to 71,676.29, 98,916.80 and 39,844.50

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Solution

The fourth proportional to 71,676.29, 98,916.80 and 39,844.50 is: 54,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.29 : 98,916.80 = 39,844.50 : x
  2. Step 2: Convert to fraction form
    71,676.29/98,916.80 = 39,844.50/x
  3. Step 3: Cross multiply
    71,676.29x = 98,916.80 × 39,844.50
  4. Step 4: Simplify right side
    71,676.29x = 3,941,290,238.38
  5. Step 5: Solve for x
    x = 3,941,290,238.38/71,676.29
  6. Step 6: Final answer
    x = 54,987.37

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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.