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Finding the Fourth Proportional to 67,784, 101,683.04 and 18,536

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Solution

The fourth proportional to 67,784, 101,683.04 and 18,536 is: 27,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,784 : 101,683.04 = 18,536 : x
  2. Step 2: Convert to fraction form
    67,784/101,683.04 = 18,536/x
  3. Step 3: Cross multiply
    67,784x = 101,683.04 × 18,536
  4. Step 4: Simplify right side
    67,784x = 1,884,796,829.44
  5. Step 5: Solve for x
    x = 1,884,796,829.44/67,784
  6. Step 6: Final answer
    x = 27,805.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.