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Finding the Fourth Proportional to 91,467.86, 137,197.67 and 38,137.86

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Solution

The fourth proportional to 91,467.86, 137,197.67 and 38,137.86 is: 57,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467.86 : 137,197.67 = 38,137.86 : x
  2. Step 2: Convert to fraction form
    91,467.86/137,197.67 = 38,137.86/x
  3. Step 3: Cross multiply
    91,467.86x = 137,197.67 × 38,137.86
  4. Step 4: Simplify right side
    91,467.86x = 5,232,425,340.10
  5. Step 5: Solve for x
    x = 5,232,425,340.10/91,467.86
  6. Step 6: Final answer
    x = 57,205.07

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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.