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Finding the Fourth Proportional to 138,576.47, 207,942.66 and 75,401.15

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Solution

The fourth proportional to 138,576.47, 207,942.66 and 75,401.15 is: 113,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576.47 : 207,942.66 = 75,401.15 : x
  2. Step 2: Convert to fraction form
    138,576.47/207,942.66 = 75,401.15/x
  3. Step 3: Cross multiply
    138,576.47x = 207,942.66 × 75,401.15
  4. Step 4: Simplify right side
    138,576.47x = 15,679,114,658.35
  5. Step 5: Solve for x
    x = 15,679,114,658.35/138,576.47
  6. Step 6: Final answer
    x = 113,144.14

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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.