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Finding the Fourth Proportional to 80,641.96, 120,965.67 and 28,051.90

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Solution

The fourth proportional to 80,641.96, 120,965.67 and 28,051.90 is: 42,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,641.96 : 120,965.67 = 28,051.90 : x
  2. Step 2: Convert to fraction form
    80,641.96/120,965.67 = 28,051.90/x
  3. Step 3: Cross multiply
    80,641.96x = 120,965.67 × 28,051.90
  4. Step 4: Simplify right side
    80,641.96x = 3,393,316,878.27
  5. Step 5: Solve for x
    x = 3,393,316,878.27/80,641.96
  6. Step 6: Final answer
    x = 42,078.80

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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.