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Finding the Fourth Proportional to 75,270.94, 112,892 and 37,820.64

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Solution

The fourth proportional to 75,270.94, 112,892 and 37,820.64 is: 56,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,270.94 : 112,892 = 37,820.64 : x
  2. Step 2: Convert to fraction form
    75,270.94/112,892 = 37,820.64/x
  3. Step 3: Cross multiply
    75,270.94x = 112,892 × 37,820.64
  4. Step 4: Simplify right side
    75,270.94x = 4,269,647,690.88
  5. Step 5: Solve for x
    x = 4,269,647,690.88/75,270.94
  6. Step 6: Final answer
    x = 56,723.72

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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.