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Finding the Fourth Proportional to 201,429.76, 302,144.64 and 94,747.40

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Solution

The fourth proportional to 201,429.76, 302,144.64 and 94,747.40 is: 142,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.76 : 302,144.64 = 94,747.40 : x
  2. Step 2: Convert to fraction form
    201,429.76/302,144.64 = 94,747.40/x
  3. Step 3: Cross multiply
    201,429.76x = 302,144.64 × 94,747.40
  4. Step 4: Simplify right side
    201,429.76x = 28,627,419,063.94
  5. Step 5: Solve for x
    x = 28,627,419,063.94/201,429.76
  6. Step 6: Final answer
    x = 142,121.10

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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.