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Finding the Fourth Proportional to 91,567, 137,974.44 and 75,291.63

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Solution

The fourth proportional to 91,567, 137,974.44 and 75,291.63 is: 113,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,567 : 137,974.44 = 75,291.63 : x
  2. Step 2: Convert to fraction form
    91,567/137,974.44 = 75,291.63/x
  3. Step 3: Cross multiply
    91,567x = 137,974.44 × 75,291.63
  4. Step 4: Simplify right side
    91,567x = 10,388,320,485.94
  5. Step 5: Solve for x
    x = 10,388,320,485.94/91,567
  6. Step 6: Final answer
    x = 113,450.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.