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Finding the Fourth Proportional to 75,674.28, 113,472 and 28,250.36

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Solution

The fourth proportional to 75,674.28, 113,472 and 28,250.36 is: 42,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,674.28 : 113,472 = 28,250.36 : x
  2. Step 2: Convert to fraction form
    75,674.28/113,472 = 28,250.36/x
  3. Step 3: Cross multiply
    75,674.28x = 113,472 × 28,250.36
  4. Step 4: Simplify right side
    75,674.28x = 3,205,624,849.92
  5. Step 5: Solve for x
    x = 3,205,624,849.92/75,674.28
  6. Step 6: Final answer
    x = 42,360.82

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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.