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Finding the Fourth Proportional to 172,676.88, 259,011.96 and 77,854.80

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Solution

The fourth proportional to 172,676.88, 259,011.96 and 77,854.80 is: 116,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,676.88 : 259,011.96 = 77,854.80 : x
  2. Step 2: Convert to fraction form
    172,676.88/259,011.96 = 77,854.80/x
  3. Step 3: Cross multiply
    172,676.88x = 259,011.96 × 77,854.80
  4. Step 4: Simplify right side
    172,676.88x = 20,165,324,343.41
  5. Step 5: Solve for x
    x = 20,165,324,343.41/172,676.88
  6. Step 6: Final answer
    x = 116,780.69

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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.