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Finding the Fourth Proportional to 120,606.70, 166,415.79 and 72,828.04

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Solution

The fourth proportional to 120,606.70, 166,415.79 and 72,828.04 is: 100,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,606.70 : 166,415.79 = 72,828.04 : x
  2. Step 2: Convert to fraction form
    120,606.70/166,415.79 = 72,828.04/x
  3. Step 3: Cross multiply
    120,606.70x = 166,415.79 × 72,828.04
  4. Step 4: Simplify right side
    120,606.70x = 12,119,735,810.75
  5. Step 5: Solve for x
    x = 12,119,735,810.75/120,606.70
  6. Step 6: Final answer
    x = 100,489.74

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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.