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Finding the Fourth Proportional to 137,035.68, 205,509.78 and 43,519.56

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Solution

The fourth proportional to 137,035.68, 205,509.78 and 43,519.56 is: 65,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,035.68 : 205,509.78 = 43,519.56 : x
  2. Step 2: Convert to fraction form
    137,035.68/205,509.78 = 43,519.56/x
  3. Step 3: Cross multiply
    137,035.68x = 205,509.78 × 43,519.56
  4. Step 4: Simplify right side
    137,035.68x = 8,943,695,201.30
  5. Step 5: Solve for x
    x = 8,943,695,201.30/137,035.68
  6. Step 6: Final answer
    x = 65,265.45

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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.