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Finding the Fourth Proportional to 71,855.76, 107,640.76 and 56,200.08

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Solution

The fourth proportional to 71,855.76, 107,640.76 and 56,200.08 is: 84,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,855.76 : 107,640.76 = 56,200.08 : x
  2. Step 2: Convert to fraction form
    71,855.76/107,640.76 = 56,200.08/x
  3. Step 3: Cross multiply
    71,855.76x = 107,640.76 × 56,200.08
  4. Step 4: Simplify right side
    71,855.76x = 6,049,419,323.26
  5. Step 5: Solve for x
    x = 6,049,419,323.26/71,855.76
  6. Step 6: Final answer
    x = 84,188.37

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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.