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Finding the Fourth Proportional to 512,013.75, 768,020.64 and 138,036.75

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Solution

The fourth proportional to 512,013.75, 768,020.64 and 138,036.75 is: 207,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,013.75 : 768,020.64 = 138,036.75 : x
  2. Step 2: Convert to fraction form
    512,013.75/768,020.64 = 138,036.75/x
  3. Step 3: Cross multiply
    512,013.75x = 768,020.64 × 138,036.75
  4. Step 4: Simplify right side
    512,013.75x = 106,015,073,078.52
  5. Step 5: Solve for x
    x = 106,015,073,078.52/512,013.75
  6. Step 6: Final answer
    x = 207,055.13

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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.