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Finding the Fourth Proportional to 71,785.50, 99,063.99 and 41,977.50

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Solution

The fourth proportional to 71,785.50, 99,063.99 and 41,977.50 is: 57,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.50 : 99,063.99 = 41,977.50 : x
  2. Step 2: Convert to fraction form
    71,785.50/99,063.99 = 41,977.50/x
  3. Step 3: Cross multiply
    71,785.50x = 99,063.99 × 41,977.50
  4. Step 4: Simplify right side
    71,785.50x = 4,158,458,640.23
  5. Step 5: Solve for x
    x = 4,158,458,640.23/71,785.50
  6. Step 6: Final answer
    x = 57,928.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.