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Finding the Fourth Proportional to 201,375.30, 302,062.95 and 135,020.10

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Solution

The fourth proportional to 201,375.30, 302,062.95 and 135,020.10 is: 202,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,375.30 : 302,062.95 = 135,020.10 : x
  2. Step 2: Convert to fraction form
    201,375.30/302,062.95 = 135,020.10/x
  3. Step 3: Cross multiply
    201,375.30x = 302,062.95 × 135,020.10
  4. Step 4: Simplify right side
    201,375.30x = 40,784,569,715.30
  5. Step 5: Solve for x
    x = 40,784,569,715.30/201,375.30
  6. Step 6: Final answer
    x = 202,530.15

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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.