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Finding the Fourth Proportional to 138,878.61, 208,274.93 and 50,120.88

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Solution

The fourth proportional to 138,878.61, 208,274.93 and 50,120.88 is: 75,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,878.61 : 208,274.93 = 50,120.88 : x
  2. Step 2: Convert to fraction form
    138,878.61/208,274.93 = 50,120.88/x
  3. Step 3: Cross multiply
    138,878.61x = 208,274.93 × 50,120.88
  4. Step 4: Simplify right side
    138,878.61x = 10,438,922,773.54
  5. Step 5: Solve for x
    x = 10,438,922,773.54/138,878.61
  6. Step 6: Final answer
    x = 75,165.81

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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.