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Finding the Fourth Proportional to 91,983.92, 137,951.16 and 25,408.40

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Solution

The fourth proportional to 91,983.92, 137,951.16 and 25,408.40 is: 38,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,983.92 : 137,951.16 = 25,408.40 : x
  2. Step 2: Convert to fraction form
    91,983.92/137,951.16 = 25,408.40/x
  3. Step 3: Cross multiply
    91,983.92x = 137,951.16 × 25,408.40
  4. Step 4: Simplify right side
    91,983.92x = 3,505,118,253.74
  5. Step 5: Solve for x
    x = 3,505,118,253.74/91,983.92
  6. Step 6: Final answer
    x = 38,105.77

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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.