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Finding the Fourth Proportional to 71,978.44, 107,967.66 and 36,895.72

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Solution

The fourth proportional to 71,978.44, 107,967.66 and 36,895.72 is: 55,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.44 : 107,967.66 = 36,895.72 : x
  2. Step 2: Convert to fraction form
    71,978.44/107,967.66 = 36,895.72/x
  3. Step 3: Cross multiply
    71,978.44x = 107,967.66 × 36,895.72
  4. Step 4: Simplify right side
    71,978.44x = 3,983,544,552.42
  5. Step 5: Solve for x
    x = 3,983,544,552.42/71,978.44
  6. Step 6: Final answer
    x = 55,343.58

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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.