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Finding the Fourth Proportional to 279,665.42, 419,514.70 and 87,575.77

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Solution

The fourth proportional to 279,665.42, 419,514.70 and 87,575.77 is: 131,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,665.42 : 419,514.70 = 87,575.77 : x
  2. Step 2: Convert to fraction form
    279,665.42/419,514.70 = 87,575.77/x
  3. Step 3: Cross multiply
    279,665.42x = 419,514.70 × 87,575.77
  4. Step 4: Simplify right side
    279,665.42x = 36,739,322,878.82
  5. Step 5: Solve for x
    x = 36,739,322,878.82/279,665.42
  6. Step 6: Final answer
    x = 131,368.85

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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.