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Finding the Fourth Proportional to 139,029.64, 208,596.66 and 64,185.64

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Solution

The fourth proportional to 139,029.64, 208,596.66 and 64,185.64 is: 96,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.64 : 208,596.66 = 64,185.64 : x
  2. Step 2: Convert to fraction form
    139,029.64/208,596.66 = 64,185.64/x
  3. Step 3: Cross multiply
    139,029.64x = 208,596.66 × 64,185.64
  4. Step 4: Simplify right side
    139,029.64x = 13,388,910,123.96
  5. Step 5: Solve for x
    x = 13,388,910,123.96/139,029.64
  6. Step 6: Final answer
    x = 96,302.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.