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Finding the Fourth Proportional to 133,902.80, 200,849.04 and 40,406

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Solution

The fourth proportional to 133,902.80, 200,849.04 and 40,406 is: 60,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,902.80 : 200,849.04 = 40,406 : x
  2. Step 2: Convert to fraction form
    133,902.80/200,849.04 = 40,406/x
  3. Step 3: Cross multiply
    133,902.80x = 200,849.04 × 40,406
  4. Step 4: Simplify right side
    133,902.80x = 8,115,506,310.24
  5. Step 5: Solve for x
    x = 8,115,506,310.24/133,902.80
  6. Step 6: Final answer
    x = 60,607.44

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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.