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Finding the Fourth Proportional to 214,814.88, 322,139.52 and 81,624.96

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Solution

The fourth proportional to 214,814.88, 322,139.52 and 81,624.96 is: 122,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814.88 : 322,139.52 = 81,624.96 : x
  2. Step 2: Convert to fraction form
    214,814.88/322,139.52 = 81,624.96/x
  3. Step 3: Cross multiply
    214,814.88x = 322,139.52 × 81,624.96
  4. Step 4: Simplify right side
    214,814.88x = 26,294,625,434.42
  5. Step 5: Solve for x
    x = 26,294,625,434.42/214,814.88
  6. Step 6: Final answer
    x = 122,405.98

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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.