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Finding the Fourth Proportional to 138,573.72, 207,795.96 and 71,995.95

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Solution

The fourth proportional to 138,573.72, 207,795.96 and 71,995.95 is: 107,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,573.72 : 207,795.96 = 71,995.95 : x
  2. Step 2: Convert to fraction form
    138,573.72/207,795.96 = 71,995.95/x
  3. Step 3: Cross multiply
    138,573.72x = 207,795.96 × 71,995.95
  4. Step 4: Simplify right side
    138,573.72x = 14,960,467,546.36
  5. Step 5: Solve for x
    x = 14,960,467,546.36/138,573.72
  6. Step 6: Final answer
    x = 107,960.35

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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.