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Finding the Fourth Proportional to 80,575.86, 120,854.16 and 21,416.07

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Solution

The fourth proportional to 80,575.86, 120,854.16 and 21,416.07 is: 32,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,575.86 : 120,854.16 = 21,416.07 : x
  2. Step 2: Convert to fraction form
    80,575.86/120,854.16 = 21,416.07/x
  3. Step 3: Cross multiply
    80,575.86x = 120,854.16 × 21,416.07
  4. Step 4: Simplify right side
    80,575.86x = 2,588,221,150.35
  5. Step 5: Solve for x
    x = 2,588,221,150.35/80,575.86
  6. Step 6: Final answer
    x = 32,121.55

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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.