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Finding the Fourth Proportional to 65,977, 91,172.50 and 50,031.88

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Solution

The fourth proportional to 65,977, 91,172.50 and 50,031.88 is: 69,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977 : 91,172.50 = 50,031.88 : x
  2. Step 2: Convert to fraction form
    65,977/91,172.50 = 50,031.88/x
  3. Step 3: Cross multiply
    65,977x = 91,172.50 × 50,031.88
  4. Step 4: Simplify right side
    65,977x = 4,561,531,579.30
  5. Step 5: Solve for x
    x = 4,561,531,579.30/65,977
  6. Step 6: Final answer
    x = 69,138.21

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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.