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Finding the Fourth Proportional to 138,858, 208,243.80 and 50,099.88

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Solution

The fourth proportional to 138,858, 208,243.80 and 50,099.88 is: 75,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858 : 208,243.80 = 50,099.88 : x
  2. Step 2: Convert to fraction form
    138,858/208,243.80 = 50,099.88/x
  3. Step 3: Cross multiply
    138,858x = 208,243.80 × 50,099.88
  4. Step 4: Simplify right side
    138,858x = 10,432,989,390.74
  5. Step 5: Solve for x
    x = 10,432,989,390.74/138,858
  6. Step 6: Final answer
    x = 75,134.23

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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.