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Finding the Fourth Proportional to 137,538.86, 206,286.15 and 37,675.71

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Solution

The fourth proportional to 137,538.86, 206,286.15 and 37,675.71 is: 56,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,538.86 : 206,286.15 = 37,675.71 : x
  2. Step 2: Convert to fraction form
    137,538.86/206,286.15 = 37,675.71/x
  3. Step 3: Cross multiply
    137,538.86x = 206,286.15 × 37,675.71
  4. Step 4: Simplify right side
    137,538.86x = 7,771,977,305.70
  5. Step 5: Solve for x
    x = 7,771,977,305.70/137,538.86
  6. Step 6: Final answer
    x = 56,507.50

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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.