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Finding the Fourth Proportional to 138,863.10, 191,631.78 and 75,201.16

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Solution

The fourth proportional to 138,863.10, 191,631.78 and 75,201.16 is: 103,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,863.10 : 191,631.78 = 75,201.16 : x
  2. Step 2: Convert to fraction form
    138,863.10/191,631.78 = 75,201.16/x
  3. Step 3: Cross multiply
    138,863.10x = 191,631.78 × 75,201.16
  4. Step 4: Simplify right side
    138,863.10x = 14,410,932,148.86
  5. Step 5: Solve for x
    x = 14,410,932,148.86/138,863.10
  6. Step 6: Final answer
    x = 103,777.98

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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.