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Finding the Fourth Proportional to 75,211.46, 103,769.55 and 42,945

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Solution

The fourth proportional to 75,211.46, 103,769.55 and 42,945 is: 59,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,211.46 : 103,769.55 = 42,945 : x
  2. Step 2: Convert to fraction form
    75,211.46/103,769.55 = 42,945/x
  3. Step 3: Cross multiply
    75,211.46x = 103,769.55 × 42,945
  4. Step 4: Simplify right side
    75,211.46x = 4,456,383,324.75
  5. Step 5: Solve for x
    x = 4,456,383,324.75/75,211.46
  6. Step 6: Final answer
    x = 59,251.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.