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Finding the Fourth Proportional to 201,676,715.20, 302,515,072.80 and 132,801,961.60

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Solution

The fourth proportional to 201,676,715.20, 302,515,072.80 and 132,801,961.60 is: 199,202,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676,715.20 : 302,515,072.80 = 132,801,961.60 : x
  2. Step 2: Convert to fraction form
    201,676,715.20/302,515,072.80 = 132,801,961.60/x
  3. Step 3: Cross multiply
    201,676,715.20x = 302,515,072.80 × 132,801,961.60
  4. Step 4: Simplify right side
    201,676,715.20x = 40,174,595,081,406,808
  5. Step 5: Solve for x
    x = 40,174,595,081,406,808/201,676,715.20
  6. Step 6: Final answer
    x = 199,202,942.40

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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.