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Finding the Fourth Proportional to 120,576, 166,394.88 and 67,584

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Solution

The fourth proportional to 120,576, 166,394.88 and 67,584 is: 93,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,576 : 166,394.88 = 67,584 : x
  2. Step 2: Convert to fraction form
    120,576/166,394.88 = 67,584/x
  3. Step 3: Cross multiply
    120,576x = 166,394.88 × 67,584
  4. Step 4: Simplify right side
    120,576x = 11,245,631,569.92
  5. Step 5: Solve for x
    x = 11,245,631,569.92/120,576
  6. Step 6: Final answer
    x = 93,265.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.