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Finding the Fourth Proportional to 76,916.88, 115,481.52 and 53,165.88

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Solution

The fourth proportional to 76,916.88, 115,481.52 and 53,165.88 is: 79,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,916.88 : 115,481.52 = 53,165.88 : x
  2. Step 2: Convert to fraction form
    76,916.88/115,481.52 = 53,165.88/x
  3. Step 3: Cross multiply
    76,916.88x = 115,481.52 × 53,165.88
  4. Step 4: Simplify right side
    76,916.88x = 6,139,676,634.54
  5. Step 5: Solve for x
    x = 6,139,676,634.54/76,916.88
  6. Step 6: Final answer
    x = 79,822.23

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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.