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Finding the Fourth Proportional to 82,053.68, 123,311.36 and 48,779.72

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Solution

The fourth proportional to 82,053.68, 123,311.36 and 48,779.72 is: 73,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.68 : 123,311.36 = 48,779.72 : x
  2. Step 2: Convert to fraction form
    82,053.68/123,311.36 = 48,779.72/x
  3. Step 3: Cross multiply
    82,053.68x = 123,311.36 × 48,779.72
  4. Step 4: Simplify right side
    82,053.68x = 6,015,093,613.62
  5. Step 5: Solve for x
    x = 6,015,093,613.62/82,053.68
  6. Step 6: Final answer
    x = 73,306.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.