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Finding the Fourth Proportional to 316,715.10, 475,072.65 and 80,057.78

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Solution

The fourth proportional to 316,715.10, 475,072.65 and 80,057.78 is: 120,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,715.10 : 475,072.65 = 80,057.78 : x
  2. Step 2: Convert to fraction form
    316,715.10/475,072.65 = 80,057.78/x
  3. Step 3: Cross multiply
    316,715.10x = 475,072.65 × 80,057.78
  4. Step 4: Simplify right side
    316,715.10x = 38,033,260,656.85
  5. Step 5: Solve for x
    x = 38,033,260,656.85/316,715.10
  6. Step 6: Final answer
    x = 120,086.67

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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.