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Finding the Fourth Proportional to 100,286.63, 138,103.89 and 93,875.88

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Solution

The fourth proportional to 100,286.63, 138,103.89 and 93,875.88 is: 129,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.63 : 138,103.89 = 93,875.88 : x
  2. Step 2: Convert to fraction form
    100,286.63/138,103.89 = 93,875.88/x
  3. Step 3: Cross multiply
    100,286.63x = 138,103.89 × 93,875.88
  4. Step 4: Simplify right side
    100,286.63x = 12,964,624,205.17
  5. Step 5: Solve for x
    x = 12,964,624,205.17/100,286.63
  6. Step 6: Final answer
    x = 129,275.71

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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.