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Finding the Fourth Proportional to 91,969.79, 137,932.81 and 25,408.46

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Solution

The fourth proportional to 91,969.79, 137,932.81 and 25,408.46 is: 38,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,969.79 : 137,932.81 = 25,408.46 : x
  2. Step 2: Convert to fraction form
    91,969.79/137,932.81 = 25,408.46/x
  3. Step 3: Cross multiply
    91,969.79x = 137,932.81 × 25,408.46
  4. Step 4: Simplify right side
    91,969.79x = 3,504,660,285.57
  5. Step 5: Solve for x
    x = 3,504,660,285.57/91,969.79
  6. Step 6: Final answer
    x = 38,106.65

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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.