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Finding the Fourth Proportional to 138,384.39, 190,972.58 and 81,801.03

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Solution

The fourth proportional to 138,384.39, 190,972.58 and 81,801.03 is: 112,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384.39 : 190,972.58 = 81,801.03 : x
  2. Step 2: Convert to fraction form
    138,384.39/190,972.58 = 81,801.03/x
  3. Step 3: Cross multiply
    138,384.39x = 190,972.58 × 81,801.03
  4. Step 4: Simplify right side
    138,384.39x = 15,621,753,336.75
  5. Step 5: Solve for x
    x = 15,621,753,336.75/138,384.39
  6. Step 6: Final answer
    x = 112,886.67

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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.