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Finding the Fourth Proportional to 89,222, 133,884.84 and 39,974

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Solution

The fourth proportional to 89,222, 133,884.84 and 39,974 is: 59,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,222 : 133,884.84 = 39,974 : x
  2. Step 2: Convert to fraction form
    89,222/133,884.84 = 39,974/x
  3. Step 3: Cross multiply
    89,222x = 133,884.84 × 39,974
  4. Step 4: Simplify right side
    89,222x = 5,351,912,594.16
  5. Step 5: Solve for x
    x = 5,351,912,594.16/89,222
  6. Step 6: Final answer
    x = 59,984.23

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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.