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Finding the Fourth Proportional to 275,065.69, 412,595.19 and 75,385.91

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Solution

The fourth proportional to 275,065.69, 412,595.19 and 75,385.91 is: 113,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,065.69 : 412,595.19 = 75,385.91 : x
  2. Step 2: Convert to fraction form
    275,065.69/412,595.19 = 75,385.91/x
  3. Step 3: Cross multiply
    275,065.69x = 412,595.19 × 75,385.91
  4. Step 4: Simplify right side
    275,065.69x = 31,103,863,016.75
  5. Step 5: Solve for x
    x = 31,103,863,016.75/275,065.69
  6. Step 6: Final answer
    x = 113,077.95

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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.