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Finding the Fourth Proportional to 139,393.05, 209,006.53 and 55,165.19

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Solution

The fourth proportional to 139,393.05, 209,006.53 and 55,165.19 is: 82,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,393.05 : 209,006.53 = 55,165.19 : x
  2. Step 2: Convert to fraction form
    139,393.05/209,006.53 = 55,165.19/x
  3. Step 3: Cross multiply
    139,393.05x = 209,006.53 × 55,165.19
  4. Step 4: Simplify right side
    139,393.05x = 11,529,883,893.66
  5. Step 5: Solve for x
    x = 11,529,883,893.66/139,393.05
  6. Step 6: Final answer
    x = 82,714.92

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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.