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Finding the Fourth Proportional to 138,433.86, 207,678.53 and 49,694.31

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Solution

The fourth proportional to 138,433.86, 207,678.53 and 49,694.31 is: 74,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,433.86 : 207,678.53 = 49,694.31 : x
  2. Step 2: Convert to fraction form
    138,433.86/207,678.53 = 49,694.31/x
  3. Step 3: Cross multiply
    138,433.86x = 207,678.53 × 49,694.31
  4. Step 4: Simplify right side
    138,433.86x = 10,320,441,374.40
  5. Step 5: Solve for x
    x = 10,320,441,374.40/138,433.86
  6. Step 6: Final answer
    x = 74,551.42

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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.