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Finding the Fourth Proportional to 91,970, 137,953.61 and 25,408.65

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Solution

The fourth proportional to 91,970, 137,953.61 and 25,408.65 is: 38,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970 : 137,953.61 = 25,408.65 : x
  2. Step 2: Convert to fraction form
    91,970/137,953.61 = 25,408.65/x
  3. Step 3: Cross multiply
    91,970x = 137,953.61 × 25,408.65
  4. Step 4: Simplify right side
    91,970x = 3,505,214,992.73
  5. Step 5: Solve for x
    x = 3,505,214,992.73/91,970
  6. Step 6: Final answer
    x = 38,112.59

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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.