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Finding the Fourth Proportional to 138,863.98, 191,632 and 75,201.58

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Solution

The fourth proportional to 138,863.98, 191,632 and 75,201.58 is: 103,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,863.98 : 191,632 = 75,201.58 : x
  2. Step 2: Convert to fraction form
    138,863.98/191,632 = 75,201.58/x
  3. Step 3: Cross multiply
    138,863.98x = 191,632 × 75,201.58
  4. Step 4: Simplify right side
    138,863.98x = 14,411,029,178.56
  5. Step 5: Solve for x
    x = 14,411,029,178.56/138,863.98
  6. Step 6: Final answer
    x = 103,778.02

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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.