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Finding the Fourth Proportional to 138,497.19, 207,556.25 and 75,234.57

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Solution

The fourth proportional to 138,497.19, 207,556.25 and 75,234.57 is: 112,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,497.19 : 207,556.25 = 75,234.57 : x
  2. Step 2: Convert to fraction form
    138,497.19/207,556.25 = 75,234.57/x
  3. Step 3: Cross multiply
    138,497.19x = 207,556.25 × 75,234.57
  4. Step 4: Simplify right side
    138,497.19x = 15,615,405,644.41
  5. Step 5: Solve for x
    x = 15,615,405,644.41/138,497.19
  6. Step 6: Final answer
    x = 112,748.90

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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.