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Finding the Fourth Proportional to 75,200.45, 103,808.64 and 50,676.64

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Solution

The fourth proportional to 75,200.45, 103,808.64 and 50,676.64 is: 69,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.45 : 103,808.64 = 50,676.64 : x
  2. Step 2: Convert to fraction form
    75,200.45/103,808.64 = 50,676.64/x
  3. Step 3: Cross multiply
    75,200.45x = 103,808.64 × 50,676.64
  4. Step 4: Simplify right side
    75,200.45x = 5,260,672,723.63
  5. Step 5: Solve for x
    x = 5,260,672,723.63/75,200.45
  6. Step 6: Final answer
    x = 69,955.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.