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Finding the Fourth Proportional to 321,761.90, 482,712.21 and 97,103.54

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Solution

The fourth proportional to 321,761.90, 482,712.21 and 97,103.54 is: 145,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,761.90 : 482,712.21 = 97,103.54 : x
  2. Step 2: Convert to fraction form
    321,761.90/482,712.21 = 97,103.54/x
  3. Step 3: Cross multiply
    321,761.90x = 482,712.21 × 97,103.54
  4. Step 4: Simplify right side
    321,761.90x = 46,873,065,599.00
  5. Step 5: Solve for x
    x = 46,873,065,599.00/321,761.90
  6. Step 6: Final answer
    x = 145,676.24

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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.