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Finding the Fourth Proportional to 512,104.84, 768,064.38 and 138,040.36

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Solution

The fourth proportional to 512,104.84, 768,064.38 and 138,040.36 is: 207,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,104.84 : 768,064.38 = 138,040.36 : x
  2. Step 2: Convert to fraction form
    512,104.84/768,064.38 = 138,040.36/x
  3. Step 3: Cross multiply
    512,104.84x = 768,064.38 × 138,040.36
  4. Step 4: Simplify right side
    512,104.84x = 106,023,883,518.38
  5. Step 5: Solve for x
    x = 106,023,883,518.38/512,104.84
  6. Step 6: Final answer
    x = 207,035.50

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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.