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Finding the Fourth Proportional to 137,682.19, 206,403 and 53,384.28

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Solution

The fourth proportional to 137,682.19, 206,403 and 53,384.28 is: 80,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,682.19 : 206,403 = 53,384.28 : x
  2. Step 2: Convert to fraction form
    137,682.19/206,403 = 53,384.28/x
  3. Step 3: Cross multiply
    137,682.19x = 206,403 × 53,384.28
  4. Step 4: Simplify right side
    137,682.19x = 11,018,675,544.84
  5. Step 5: Solve for x
    x = 11,018,675,544.84/137,682.19
  6. Step 6: Final answer
    x = 80,029.78

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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.