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Finding the Fourth Proportional to 120,365.81, 166,103.65 and 69,359.80

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Solution

The fourth proportional to 120,365.81, 166,103.65 and 69,359.80 is: 95,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,365.81 : 166,103.65 = 69,359.80 : x
  2. Step 2: Convert to fraction form
    120,365.81/166,103.65 = 69,359.80/x
  3. Step 3: Cross multiply
    120,365.81x = 166,103.65 × 69,359.80
  4. Step 4: Simplify right side
    120,365.81x = 11,520,915,943.27
  5. Step 5: Solve for x
    x = 11,520,915,943.27/120,365.81
  6. Step 6: Final answer
    x = 95,715.85

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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.