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Finding the Fourth Proportional to 120,399.88, 166,153.08 and 72,644

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Solution

The fourth proportional to 120,399.88, 166,153.08 and 72,644 is: 100,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,399.88 : 166,153.08 = 72,644 : x
  2. Step 2: Convert to fraction form
    120,399.88/166,153.08 = 72,644/x
  3. Step 3: Cross multiply
    120,399.88x = 166,153.08 × 72,644
  4. Step 4: Simplify right side
    120,399.88x = 12,070,024,343.52
  5. Step 5: Solve for x
    x = 12,070,024,343.52/120,399.88
  6. Step 6: Final answer
    x = 100,249.47

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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.