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Finding the Fourth Proportional to 137,203.20, 205,819.56 and 43,687.08

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Solution

The fourth proportional to 137,203.20, 205,819.56 and 43,687.08 is: 65,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,203.20 : 205,819.56 = 43,687.08 : x
  2. Step 2: Convert to fraction form
    137,203.20/205,819.56 = 43,687.08/x
  3. Step 3: Cross multiply
    137,203.20x = 205,819.56 × 43,687.08
  4. Step 4: Simplify right side
    137,203.20x = 8,991,655,583.28
  5. Step 5: Solve for x
    x = 8,991,655,583.28/137,203.20
  6. Step 6: Final answer
    x = 65,535.32

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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.