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Finding the Fourth Proportional to 198,615.74, 297,829.85 and 72,166.77

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Solution

The fourth proportional to 198,615.74, 297,829.85 and 72,166.77 is: 108,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,615.74 : 297,829.85 = 72,166.77 : x
  2. Step 2: Convert to fraction form
    198,615.74/297,829.85 = 72,166.77/x
  3. Step 3: Cross multiply
    198,615.74x = 297,829.85 × 72,166.77
  4. Step 4: Simplify right side
    198,615.74x = 21,493,417,923.25
  5. Step 5: Solve for x
    x = 21,493,417,923.25/198,615.74
  6. Step 6: Final answer
    x = 108,216.09

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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.