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Finding the Fourth Proportional to 214,701.84, 322,093.67 and 86,628.29

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Solution

The fourth proportional to 214,701.84, 322,093.67 and 86,628.29 is: 129,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,701.84 : 322,093.67 = 86,628.29 : x
  2. Step 2: Convert to fraction form
    214,701.84/322,093.67 = 86,628.29/x
  3. Step 3: Cross multiply
    214,701.84x = 322,093.67 × 86,628.29
  4. Step 4: Simplify right side
    214,701.84x = 27,902,421,808.31
  5. Step 5: Solve for x
    x = 27,902,421,808.31/214,701.84
  6. Step 6: Final answer
    x = 129,958.93

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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.