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Finding the Fourth Proportional to 201,469.10, 302,436.45 and 108,157.10

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Solution

The fourth proportional to 201,469.10, 302,436.45 and 108,157.10 is: 162,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469.10 : 302,436.45 = 108,157.10 : x
  2. Step 2: Convert to fraction form
    201,469.10/302,436.45 = 108,157.10/x
  3. Step 3: Cross multiply
    201,469.10x = 302,436.45 × 108,157.10
  4. Step 4: Simplify right side
    201,469.10x = 32,710,649,366.30
  5. Step 5: Solve for x
    x = 32,710,649,366.30/201,469.10
  6. Step 6: Final answer
    x = 162,360.63

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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.