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Finding the Fourth Proportional to 138,382.34, 206,815.32 and 101,021.09

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Solution

The fourth proportional to 138,382.34, 206,815.32 and 101,021.09 is: 150,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,382.34 : 206,815.32 = 101,021.09 : x
  2. Step 2: Convert to fraction form
    138,382.34/206,815.32 = 101,021.09/x
  3. Step 3: Cross multiply
    138,382.34x = 206,815.32 × 101,021.09
  4. Step 4: Simplify right side
    138,382.34x = 20,892,708,802.55
  5. Step 5: Solve for x
    x = 20,892,708,802.55/138,382.34
  6. Step 6: Final answer
    x = 150,978.14

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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.