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Finding the Fourth Proportional to 71,253.99, 106,865.19 and 31,785.93

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Solution

The fourth proportional to 71,253.99, 106,865.19 and 31,785.93 is: 47,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,253.99 : 106,865.19 = 31,785.93 : x
  2. Step 2: Convert to fraction form
    71,253.99/106,865.19 = 31,785.93/x
  3. Step 3: Cross multiply
    71,253.99x = 106,865.19 × 31,785.93
  4. Step 4: Simplify right side
    71,253.99x = 3,396,809,448.78
  5. Step 5: Solve for x
    x = 3,396,809,448.78/71,253.99
  6. Step 6: Final answer
    x = 47,671.85

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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.