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Finding the Fourth Proportional to 282,469.90, 423,704.70 and 72,107.76

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Solution

The fourth proportional to 282,469.90, 423,704.70 and 72,107.76 is: 108,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,469.90 : 423,704.70 = 72,107.76 : x
  2. Step 2: Convert to fraction form
    282,469.90/423,704.70 = 72,107.76/x
  3. Step 3: Cross multiply
    282,469.90x = 423,704.70 × 72,107.76
  4. Step 4: Simplify right side
    282,469.90x = 30,552,396,818.47
  5. Step 5: Solve for x
    x = 30,552,396,818.47/282,469.90
  6. Step 6: Final answer
    x = 108,161.60

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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.