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Finding the Fourth Proportional to 137,155.20, 205,747.92 and 43,639.12

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Solution

The fourth proportional to 137,155.20, 205,747.92 and 43,639.12 is: 65,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,155.20 : 205,747.92 = 43,639.12 : x
  2. Step 2: Convert to fraction form
    137,155.20/205,747.92 = 43,639.12/x
  3. Step 3: Cross multiply
    137,155.20x = 205,747.92 × 43,639.12
  4. Step 4: Simplify right side
    137,155.20x = 8,978,658,170.63
  5. Step 5: Solve for x
    x = 8,978,658,170.63/137,155.20
  6. Step 6: Final answer
    x = 65,463.49

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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.