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Finding the Fourth Proportional to 138,382.09, 206,814.95 and 101,020.84

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Solution

The fourth proportional to 138,382.09, 206,814.95 and 101,020.84 is: 150,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,382.09 : 206,814.95 = 101,020.84 : x
  2. Step 2: Convert to fraction form
    138,382.09/206,814.95 = 101,020.84/x
  3. Step 3: Cross multiply
    138,382.09x = 206,814.95 × 101,020.84
  4. Step 4: Simplify right side
    138,382.09x = 20,892,619,468.45
  5. Step 5: Solve for x
    x = 20,892,619,468.45/138,382.09
  6. Step 6: Final answer
    x = 150,977.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.