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Finding the Fourth Proportional to 218,047.84, 300,933.84 and 133,147.04

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Solution

The fourth proportional to 218,047.84, 300,933.84 and 133,147.04 is: 183,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,047.84 : 300,933.84 = 133,147.04 : x
  2. Step 2: Convert to fraction form
    218,047.84/300,933.84 = 133,147.04/x
  3. Step 3: Cross multiply
    218,047.84x = 300,933.84 × 133,147.04
  4. Step 4: Simplify right side
    218,047.84x = 40,068,450,031.83
  5. Step 5: Solve for x
    x = 40,068,450,031.83/218,047.84
  6. Step 6: Final answer
    x = 183,759.90

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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.