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Finding the Fourth Proportional to 82,502,807.80, 123,672,563.70 and 36,469,665.40

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Solution

The fourth proportional to 82,502,807.80, 123,672,563.70 and 36,469,665.40 is: 54,668,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502,807.80 : 123,672,563.70 = 36,469,665.40 : x
  2. Step 2: Convert to fraction form
    82,502,807.80/123,672,563.70 = 36,469,665.40/x
  3. Step 3: Cross multiply
    82,502,807.80x = 123,672,563.70 × 36,469,665.40
  4. Step 4: Simplify right side
    82,502,807.80x = 4,510,297,017,299,186
  5. Step 5: Solve for x
    x = 4,510,297,017,299,186/82,502,807.80
  6. Step 6: Final answer
    x = 54,668,406.30

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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.