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Finding the Fourth Proportional to 138,410, 207,703.31 and 49,661.54

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Solution

The fourth proportional to 138,410, 207,703.31 and 49,661.54 is: 74,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410 : 207,703.31 = 49,661.54 : x
  2. Step 2: Convert to fraction form
    138,410/207,703.31 = 49,661.54/x
  3. Step 3: Cross multiply
    138,410x = 207,703.31 × 49,661.54
  4. Step 4: Simplify right side
    138,410x = 10,314,865,989.39
  5. Step 5: Solve for x
    x = 10,314,865,989.39/138,410
  6. Step 6: Final answer
    x = 74,523.99

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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.