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Finding the Fourth Proportional to 137,379, 205,992.72 and 42,582.90

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Solution

The fourth proportional to 137,379, 205,992.72 and 42,582.90 is: 63,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,379 : 205,992.72 = 42,582.90 : x
  2. Step 2: Convert to fraction form
    137,379/205,992.72 = 42,582.90/x
  3. Step 3: Cross multiply
    137,379x = 205,992.72 × 42,582.90
  4. Step 4: Simplify right side
    137,379x = 8,771,767,396.49
  5. Step 5: Solve for x
    x = 8,771,767,396.49/137,379
  6. Step 6: Final answer
    x = 63,850.86

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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.