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Finding the Fourth Proportional to 75,872.72, 113,821.44 and 28,491.48

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Solution

The fourth proportional to 75,872.72, 113,821.44 and 28,491.48 is: 42,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872.72 : 113,821.44 = 28,491.48 : x
  2. Step 2: Convert to fraction form
    75,872.72/113,821.44 = 28,491.48/x
  3. Step 3: Cross multiply
    75,872.72x = 113,821.44 × 28,491.48
  4. Step 4: Simplify right side
    75,872.72x = 3,242,941,281.33
  5. Step 5: Solve for x
    x = 3,242,941,281.33/75,872.72
  6. Step 6: Final answer
    x = 42,741.86

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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.