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Finding the Fourth Proportional to 138,838.60, 208,257.90 and 50,105.80

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Solution

The fourth proportional to 138,838.60, 208,257.90 and 50,105.80 is: 75,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.60 : 208,257.90 = 50,105.80 : x
  2. Step 2: Convert to fraction form
    138,838.60/208,257.90 = 50,105.80/x
  3. Step 3: Cross multiply
    138,838.60x = 208,257.90 × 50,105.80
  4. Step 4: Simplify right side
    138,838.60x = 10,434,928,685.82
  5. Step 5: Solve for x
    x = 10,434,928,685.82/138,838.60
  6. Step 6: Final answer
    x = 75,158.70

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1.5x scale

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.