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Finding the Fourth Proportional to 82,676.98, 114,129.02 and 55,855.65

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Solution

The fourth proportional to 82,676.98, 114,129.02 and 55,855.65 is: 77,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,676.98 : 114,129.02 = 55,855.65 : x
  2. Step 2: Convert to fraction form
    82,676.98/114,129.02 = 55,855.65/x
  3. Step 3: Cross multiply
    82,676.98x = 114,129.02 × 55,855.65
  4. Step 4: Simplify right side
    82,676.98x = 6,374,750,595.96
  5. Step 5: Solve for x
    x = 6,374,750,595.96/82,676.98
  6. Step 6: Final answer
    x = 77,104.30

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1.5x scale

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.