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Finding the Fourth Proportional to 75,306.14, 112,940.25 and 30,945.14

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Solution

The fourth proportional to 75,306.14, 112,940.25 and 30,945.14 is: 46,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306.14 : 112,940.25 = 30,945.14 : x
  2. Step 2: Convert to fraction form
    75,306.14/112,940.25 = 30,945.14/x
  3. Step 3: Cross multiply
    75,306.14x = 112,940.25 × 30,945.14
  4. Step 4: Simplify right side
    75,306.14x = 3,494,951,847.89
  5. Step 5: Solve for x
    x = 3,494,951,847.89/75,306.14
  6. Step 6: Final answer
    x = 46,409.92

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1.5x scale

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.