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Finding the Fourth Proportional to 137,324.88, 205,990.92 and 43,830.56

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Solution

The fourth proportional to 137,324.88, 205,990.92 and 43,830.56 is: 65,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,324.88 : 205,990.92 = 43,830.56 : x
  2. Step 2: Convert to fraction form
    137,324.88/205,990.92 = 43,830.56/x
  3. Step 3: Cross multiply
    137,324.88x = 205,990.92 × 43,830.56
  4. Step 4: Simplify right side
    137,324.88x = 9,028,697,378.52
  5. Step 5: Solve for x
    x = 9,028,697,378.52/137,324.88
  6. Step 6: Final answer
    x = 65,746.99

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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.