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Finding the Fourth Proportional to 120,302.91, 166,054.99 and 69,349.71

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Solution

The fourth proportional to 120,302.91, 166,054.99 and 69,349.71 is: 95,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302.91 : 166,054.99 = 69,349.71 : x
  2. Step 2: Convert to fraction form
    120,302.91/166,054.99 = 69,349.71/x
  3. Step 3: Cross multiply
    120,302.91x = 166,054.99 × 69,349.71
  4. Step 4: Simplify right side
    120,302.91x = 11,515,865,400.55
  5. Step 5: Solve for x
    x = 11,515,865,400.55/120,302.91
  6. Step 6: Final answer
    x = 95,723.91

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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.