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Finding the Fourth Proportional to 282,455, 423,682.12 and 72,092.96

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Solution

The fourth proportional to 282,455, 423,682.12 and 72,092.96 is: 108,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,455 : 423,682.12 = 72,092.96 : x
  2. Step 2: Convert to fraction form
    282,455/423,682.12 = 72,092.96/x
  3. Step 3: Cross multiply
    282,455x = 423,682.12 × 72,092.96
  4. Step 4: Simplify right side
    282,455x = 30,544,498,129.88
  5. Step 5: Solve for x
    x = 30,544,498,129.88/282,455
  6. Step 6: Final answer
    x = 108,139.34

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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.