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Finding the Fourth Proportional to 215,361, 323,054.46 and 67,617

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Solution

The fourth proportional to 215,361, 323,054.46 and 67,617 is: 101,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,361 : 323,054.46 = 67,617 : x
  2. Step 2: Convert to fraction form
    215,361/323,054.46 = 67,617/x
  3. Step 3: Cross multiply
    215,361x = 323,054.46 × 67,617
  4. Step 4: Simplify right side
    215,361x = 21,843,973,421.82
  5. Step 5: Solve for x
    x = 21,843,973,421.82/215,361
  6. Step 6: Final answer
    x = 101,429.57

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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.