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Finding the Fourth Proportional to 120,616.83, 166,342.28 and 75,299.01

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Solution

The fourth proportional to 120,616.83, 166,342.28 and 75,299.01 is: 103,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.83 : 166,342.28 = 75,299.01 : x
  2. Step 2: Convert to fraction form
    120,616.83/166,342.28 = 75,299.01/x
  3. Step 3: Cross multiply
    120,616.83x = 166,342.28 × 75,299.01
  4. Step 4: Simplify right side
    120,616.83x = 12,525,408,628.65
  5. Step 5: Solve for x
    x = 12,525,408,628.65/120,616.83
  6. Step 6: Final answer
    x = 103,844.62

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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.