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Finding the Fourth Proportional to 137,037.81, 205,578.88 and 42,245.81

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Solution

The fourth proportional to 137,037.81, 205,578.88 and 42,245.81 is: 63,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037.81 : 205,578.88 = 42,245.81 : x
  2. Step 2: Convert to fraction form
    137,037.81/205,578.88 = 42,245.81/x
  3. Step 3: Cross multiply
    137,037.81x = 205,578.88 × 42,245.81
  4. Step 4: Simplify right side
    137,037.81x = 8,684,846,520.10
  5. Step 5: Solve for x
    x = 8,684,846,520.10/137,037.81
  6. Step 6: Final answer
    x = 63,375.55

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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.