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Finding the Fourth Proportional to 138,771, 191,503.62 and 75,108.78

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Solution

The fourth proportional to 138,771, 191,503.62 and 75,108.78 is: 103,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771 : 191,503.62 = 75,108.78 : x
  2. Step 2: Convert to fraction form
    138,771/191,503.62 = 75,108.78/x
  3. Step 3: Cross multiply
    138,771x = 191,503.62 × 75,108.78
  4. Step 4: Simplify right side
    138,771x = 14,383,603,263.78
  5. Step 5: Solve for x
    x = 14,383,603,263.78/138,771
  6. Step 6: Final answer
    x = 103,649.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.