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Finding the Fourth Proportional to 201,469.80, 302,118.30 and 101,591.40

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Solution

The fourth proportional to 201,469.80, 302,118.30 and 101,591.40 is: 152,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469.80 : 302,118.30 = 101,591.40 : x
  2. Step 2: Convert to fraction form
    201,469.80/302,118.30 = 101,591.40/x
  3. Step 3: Cross multiply
    201,469.80x = 302,118.30 × 101,591.40
  4. Step 4: Simplify right side
    201,469.80x = 30,692,621,062.62
  5. Step 5: Solve for x
    x = 30,692,621,062.62/201,469.80
  6. Step 6: Final answer
    x = 152,343.53

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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.