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Finding the Fourth Proportional to 200,503.84, 300,734.57 and 105,696.04

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Solution

The fourth proportional to 200,503.84, 300,734.57 and 105,696.04 is: 158,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503.84 : 300,734.57 = 105,696.04 : x
  2. Step 2: Convert to fraction form
    200,503.84/300,734.57 = 105,696.04/x
  3. Step 3: Cross multiply
    200,503.84x = 300,734.57 × 105,696.04
  4. Step 4: Simplify right side
    200,503.84x = 31,786,452,611.62
  5. Step 5: Solve for x
    x = 31,786,452,611.62/200,503.84
  6. Step 6: Final answer
    x = 158,532.89

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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.