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Finding the Fourth Proportional to 143,125.22, 214,687.84 and 54,357.86

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Solution

The fourth proportional to 143,125.22, 214,687.84 and 54,357.86 is: 81,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,125.22 : 214,687.84 = 54,357.86 : x
  2. Step 2: Convert to fraction form
    143,125.22/214,687.84 = 54,357.86/x
  3. Step 3: Cross multiply
    143,125.22x = 214,687.84 × 54,357.86
  4. Step 4: Simplify right side
    143,125.22x = 11,669,971,550.42
  5. Step 5: Solve for x
    x = 11,669,971,550.42/143,125.22
  6. Step 6: Final answer
    x = 81,536.79

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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.