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Finding the Fourth Proportional to 214,764.94, 322,019.79 and 81,654.94

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Solution

The fourth proportional to 214,764.94, 322,019.79 and 81,654.94 is: 122,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,764.94 : 322,019.79 = 81,654.94 : x
  2. Step 2: Convert to fraction form
    214,764.94/322,019.79 = 81,654.94/x
  3. Step 3: Cross multiply
    214,764.94x = 322,019.79 × 81,654.94
  4. Step 4: Simplify right side
    214,764.94x = 26,294,506,631.26
  5. Step 5: Solve for x
    x = 26,294,506,631.26/214,764.94
  6. Step 6: Final answer
    x = 122,433.89

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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.