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Finding the Fourth Proportional to 138,234.53, 207,401.78 and 48,290.58

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Solution

The fourth proportional to 138,234.53, 207,401.78 and 48,290.58 is: 72,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,234.53 : 207,401.78 = 48,290.58 : x
  2. Step 2: Convert to fraction form
    138,234.53/207,401.78 = 48,290.58/x
  3. Step 3: Cross multiply
    138,234.53x = 207,401.78 × 48,290.58
  4. Step 4: Simplify right side
    138,234.53x = 10,015,552,369.96
  5. Step 5: Solve for x
    x = 10,015,552,369.96/138,234.53
  6. Step 6: Final answer
    x = 72,453.33

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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.