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Finding the Fourth Proportional to 139,021.80, 208,532.70 and 50,278.20

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Solution

The fourth proportional to 139,021.80, 208,532.70 and 50,278.20 is: 75,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,021.80 : 208,532.70 = 50,278.20 : x
  2. Step 2: Convert to fraction form
    139,021.80/208,532.70 = 50,278.20/x
  3. Step 3: Cross multiply
    139,021.80x = 208,532.70 × 50,278.20
  4. Step 4: Simplify right side
    139,021.80x = 10,484,648,797.14
  5. Step 5: Solve for x
    x = 10,484,648,797.14/139,021.80
  6. Step 6: Final answer
    x = 75,417.30

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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.