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Finding the Fourth Proportional to 137,142.44, 205,639.72 and 62,221.72

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Solution

The fourth proportional to 137,142.44, 205,639.72 and 62,221.72 is: 93,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,142.44 : 205,639.72 = 62,221.72 : x
  2. Step 2: Convert to fraction form
    137,142.44/205,639.72 = 62,221.72/x
  3. Step 3: Cross multiply
    137,142.44x = 205,639.72 × 62,221.72
  4. Step 4: Simplify right side
    137,142.44x = 12,795,257,078.72
  5. Step 5: Solve for x
    x = 12,795,257,078.72/137,142.44
  6. Step 6: Final answer
    x = 93,299.03

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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.