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Finding the Fourth Proportional to 89,211, 133,868.34 and 39,963

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Solution

The fourth proportional to 89,211, 133,868.34 and 39,963 is: 59,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211 : 133,868.34 = 39,963 : x
  2. Step 2: Convert to fraction form
    89,211/133,868.34 = 39,963/x
  3. Step 3: Cross multiply
    89,211x = 133,868.34 × 39,963
  4. Step 4: Simplify right side
    89,211x = 5,349,780,471.42
  5. Step 5: Solve for x
    x = 5,349,780,471.42/89,211
  6. Step 6: Final answer
    x = 59,967.72

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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.