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Finding the Fourth Proportional to 71,101, 106,709.28 and 36,050.68

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Solution

The fourth proportional to 71,101, 106,709.28 and 36,050.68 is: 54,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101 : 106,709.28 = 36,050.68 : x
  2. Step 2: Convert to fraction form
    71,101/106,709.28 = 36,050.68/x
  3. Step 3: Cross multiply
    71,101x = 106,709.28 × 36,050.68
  4. Step 4: Simplify right side
    71,101x = 3,846,942,106.31
  5. Step 5: Solve for x
    x = 3,846,942,106.31/71,101
  6. Step 6: Final answer
    x = 54,105.32

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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.