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Finding the Fourth Proportional to 91,920.63, 137,910.66 and 45,140.70

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Solution

The fourth proportional to 91,920.63, 137,910.66 and 45,140.70 is: 67,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,920.63 : 137,910.66 = 45,140.70 : x
  2. Step 2: Convert to fraction form
    91,920.63/137,910.66 = 45,140.70/x
  3. Step 3: Cross multiply
    91,920.63x = 137,910.66 × 45,140.70
  4. Step 4: Simplify right side
    91,920.63x = 6,225,383,729.86
  5. Step 5: Solve for x
    x = 6,225,383,729.86/91,920.63
  6. Step 6: Final answer
    x = 67,725.64

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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.