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Finding the Fourth Proportional to 138,382.65, 206,815.77 and 101,021.40

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Solution

The fourth proportional to 138,382.65, 206,815.77 and 101,021.40 is: 150,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,382.65 : 206,815.77 = 101,021.40 : x
  2. Step 2: Convert to fraction form
    138,382.65/206,815.77 = 101,021.40/x
  3. Step 3: Cross multiply
    138,382.65x = 206,815.77 × 101,021.40
  4. Step 4: Simplify right side
    138,382.65x = 20,892,818,627.48
  5. Step 5: Solve for x
    x = 20,892,818,627.48/138,382.65
  6. Step 6: Final answer
    x = 150,978.60

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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.