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Finding the Fourth Proportional to 100,406.39, 150,634.89 and 70,881.89

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Solution

The fourth proportional to 100,406.39, 150,634.89 and 70,881.89 is: 106,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.39 : 150,634.89 = 70,881.89 : x
  2. Step 2: Convert to fraction form
    100,406.39/150,634.89 = 70,881.89/x
  3. Step 3: Cross multiply
    100,406.39x = 150,634.89 × 70,881.89
  4. Step 4: Simplify right side
    100,406.39x = 10,677,284,949.97
  5. Step 5: Solve for x
    x = 10,677,284,949.97/100,406.39
  6. Step 6: Final answer
    x = 106,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.