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Finding the Fourth Proportional to 138,488.94, 191,138.94 and 81,903.96

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Solution

The fourth proportional to 138,488.94, 191,138.94 and 81,903.96 is: 113,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,488.94 : 191,138.94 = 81,903.96 : x
  2. Step 2: Convert to fraction form
    138,488.94/191,138.94 = 81,903.96/x
  3. Step 3: Cross multiply
    138,488.94x = 191,138.94 × 81,903.96
  4. Step 4: Simplify right side
    138,488.94x = 15,655,036,096.20
  5. Step 5: Solve for x
    x = 15,655,036,096.20/138,488.94
  6. Step 6: Final answer
    x = 113,041.78

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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.