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Finding the Fourth Proportional to 138,393.34, 190,996.91 and 84,713.83

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Solution

The fourth proportional to 138,393.34, 190,996.91 and 84,713.83 is: 116,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.34 : 190,996.91 = 84,713.83 : x
  2. Step 2: Convert to fraction form
    138,393.34/190,996.91 = 84,713.83/x
  3. Step 3: Cross multiply
    138,393.34x = 190,996.91 × 84,713.83
  4. Step 4: Simplify right side
    138,393.34x = 16,180,079,764.27
  5. Step 5: Solve for x
    x = 16,180,079,764.27/138,393.34
  6. Step 6: Final answer
    x = 116,913.72

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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.