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Finding the Fourth Proportional to 76,205.70, 114,286.68 and 26,283.78

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Solution

The fourth proportional to 76,205.70, 114,286.68 and 26,283.78 is: 39,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.70 : 114,286.68 = 26,283.78 : x
  2. Step 2: Convert to fraction form
    76,205.70/114,286.68 = 26,283.78/x
  3. Step 3: Cross multiply
    76,205.70x = 114,286.68 × 26,283.78
  4. Step 4: Simplify right side
    76,205.70x = 3,003,885,954.05
  5. Step 5: Solve for x
    x = 3,003,885,954.05/76,205.70
  6. Step 6: Final answer
    x = 39,418.13

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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.