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Finding the Fourth Proportional to 149,400, 206,172 and 89,784

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Solution

The fourth proportional to 149,400, 206,172 and 89,784 is: 123,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,400 : 206,172 = 89,784 : x
  2. Step 2: Convert to fraction form
    149,400/206,172 = 89,784/x
  3. Step 3: Cross multiply
    149,400x = 206,172 × 89,784
  4. Step 4: Simplify right side
    149,400x = 18,510,946,848
  5. Step 5: Solve for x
    x = 18,510,946,848/149,400
  6. Step 6: Final answer
    x = 123,901.92

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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.