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Finding the Fourth Proportional to 71,812.32, 107,623.44 and 55,108.52

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Solution

The fourth proportional to 71,812.32, 107,623.44 and 55,108.52 is: 82,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812.32 : 107,623.44 = 55,108.52 : x
  2. Step 2: Convert to fraction form
    71,812.32/107,623.44 = 55,108.52/x
  3. Step 3: Cross multiply
    71,812.32x = 107,623.44 × 55,108.52
  4. Step 4: Simplify right side
    71,812.32x = 5,930,968,495.71
  5. Step 5: Solve for x
    x = 5,930,968,495.71/71,812.32
  6. Step 6: Final answer
    x = 82,589.85

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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.