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Finding the Fourth Proportional to 138,978.81, 191,811.32 and 87,996.27

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Solution

The fourth proportional to 138,978.81, 191,811.32 and 87,996.27 is: 121,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,978.81 : 191,811.32 = 87,996.27 : x
  2. Step 2: Convert to fraction form
    138,978.81/191,811.32 = 87,996.27/x
  3. Step 3: Cross multiply
    138,978.81x = 191,811.32 × 87,996.27
  4. Step 4: Simplify right side
    138,978.81x = 16,878,679,874.49
  5. Step 5: Solve for x
    x = 16,878,679,874.49/138,978.81
  6. Step 6: Final answer
    x = 121,447.87

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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.