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Finding the Fourth Proportional to 221,047.84, 331,604.58 and 78,882.04

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Solution

The fourth proportional to 221,047.84, 331,604.58 and 78,882.04 is: 118,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,047.84 : 331,604.58 = 78,882.04 : x
  2. Step 2: Convert to fraction form
    221,047.84/331,604.58 = 78,882.04/x
  3. Step 3: Cross multiply
    221,047.84x = 331,604.58 × 78,882.04
  4. Step 4: Simplify right side
    221,047.84x = 26,157,645,743.74
  5. Step 5: Solve for x
    x = 26,157,645,743.74/221,047.84
  6. Step 6: Final answer
    x = 118,334.77

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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.