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Finding the Fourth Proportional to 67,584, 101,376.40 and 18,336

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Solution

The fourth proportional to 67,584, 101,376.40 and 18,336 is: 27,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,584 : 101,376.40 = 18,336 : x
  2. Step 2: Convert to fraction form
    67,584/101,376.40 = 18,336/x
  3. Step 3: Cross multiply
    67,584x = 101,376.40 × 18,336
  4. Step 4: Simplify right side
    67,584x = 1,858,837,670.40
  5. Step 5: Solve for x
    x = 1,858,837,670.40/67,584
  6. Step 6: Final answer
    x = 27,504.11

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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.