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Finding the Fourth Proportional to 120,200.66, 165,872.76 and 66,485.50

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Solution

The fourth proportional to 120,200.66, 165,872.76 and 66,485.50 is: 91,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,200.66 : 165,872.76 = 66,485.50 : x
  2. Step 2: Convert to fraction form
    120,200.66/165,872.76 = 66,485.50/x
  3. Step 3: Cross multiply
    120,200.66x = 165,872.76 × 66,485.50
  4. Step 4: Simplify right side
    120,200.66x = 11,028,133,384.98
  5. Step 5: Solve for x
    x = 11,028,133,384.98/120,200.66
  6. Step 6: Final answer
    x = 91,747.69

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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.