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Finding the Fourth Proportional to 137,322.88, 205,987.92 and 43,828.56

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Solution

The fourth proportional to 137,322.88, 205,987.92 and 43,828.56 is: 65,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.88 : 205,987.92 = 43,828.56 : x
  2. Step 2: Convert to fraction form
    137,322.88/205,987.92 = 43,828.56/x
  3. Step 3: Cross multiply
    137,322.88x = 205,987.92 × 43,828.56
  4. Step 4: Simplify right side
    137,322.88x = 9,028,153,911.00
  5. Step 5: Solve for x
    x = 9,028,153,911.00/137,322.88
  6. Step 6: Final answer
    x = 65,743.99

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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.