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Finding the Fourth Proportional to 201,380.30, 302,070.45 and 135,025.10

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Solution

The fourth proportional to 201,380.30, 302,070.45 and 135,025.10 is: 202,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,380.30 : 302,070.45 = 135,025.10 : x
  2. Step 2: Convert to fraction form
    201,380.30/302,070.45 = 135,025.10/x
  3. Step 3: Cross multiply
    201,380.30x = 302,070.45 × 135,025.10
  4. Step 4: Simplify right side
    201,380.30x = 40,787,092,718.30
  5. Step 5: Solve for x
    x = 40,787,092,718.30/201,380.30
  6. Step 6: Final answer
    x = 202,537.65

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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.