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Finding the Fourth Proportional to 137,858.90, 206,812.65 and 49,163.90

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Solution

The fourth proportional to 137,858.90, 206,812.65 and 49,163.90 is: 73,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,858.90 : 206,812.65 = 49,163.90 : x
  2. Step 2: Convert to fraction form
    137,858.90/206,812.65 = 49,163.90/x
  3. Step 3: Cross multiply
    137,858.90x = 206,812.65 × 49,163.90
  4. Step 4: Simplify right side
    137,858.90x = 10,167,716,443.34
  5. Step 5: Solve for x
    x = 10,167,716,443.34/137,858.90
  6. Step 6: Final answer
    x = 73,754.52

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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.