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Finding the Fourth Proportional to 193,367.70, 289,982.05 and 66,973.93

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Solution

The fourth proportional to 193,367.70, 289,982.05 and 66,973.93 is: 100,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,367.70 : 289,982.05 = 66,973.93 : x
  2. Step 2: Convert to fraction form
    193,367.70/289,982.05 = 66,973.93/x
  3. Step 3: Cross multiply
    193,367.70x = 289,982.05 × 66,973.93
  4. Step 4: Simplify right side
    193,367.70x = 19,421,236,625.57
  5. Step 5: Solve for x
    x = 19,421,236,625.57/193,367.70
  6. Step 6: Final answer
    x = 100,436.82

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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.