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Finding the Fourth Proportional to 120,643.57, 166,472.98 and 66,914.65

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Solution

The fourth proportional to 120,643.57, 166,472.98 and 66,914.65 is: 92,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643.57 : 166,472.98 = 66,914.65 : x
  2. Step 2: Convert to fraction form
    120,643.57/166,472.98 = 66,914.65/x
  3. Step 3: Cross multiply
    120,643.57x = 166,472.98 × 66,914.65
  4. Step 4: Simplify right side
    120,643.57x = 11,139,481,191.16
  5. Step 5: Solve for x
    x = 11,139,481,191.16/120,643.57
  6. Step 6: Final answer
    x = 92,333.82

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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.