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Finding the Fourth Proportional to 138,494, 207,775.56 and 39,998

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Solution

The fourth proportional to 138,494, 207,775.56 and 39,998 is: 60,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,494 : 207,775.56 = 39,998 : x
  2. Step 2: Convert to fraction form
    138,494/207,775.56 = 39,998/x
  3. Step 3: Cross multiply
    138,494x = 207,775.56 × 39,998
  4. Step 4: Simplify right side
    138,494x = 8,310,606,848.88
  5. Step 5: Solve for x
    x = 8,310,606,848.88/138,494
  6. Step 6: Final answer
    x = 60,006.98

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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.