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Finding the Fourth Proportional to 89,220, 133,881.84 and 39,972

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Solution

The fourth proportional to 89,220, 133,881.84 and 39,972 is: 59,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,220 : 133,881.84 = 39,972 : x
  2. Step 2: Convert to fraction form
    89,220/133,881.84 = 39,972/x
  3. Step 3: Cross multiply
    89,220x = 133,881.84 × 39,972
  4. Step 4: Simplify right side
    89,220x = 5,351,524,908.48
  5. Step 5: Solve for x
    x = 5,351,524,908.48/89,220
  6. Step 6: Final answer
    x = 59,981.23

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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.