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Finding the Fourth Proportional to 205,658.82, 308,534.35 and 72,540.18

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Solution

The fourth proportional to 205,658.82, 308,534.35 and 72,540.18 is: 108,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,658.82 : 308,534.35 = 72,540.18 : x
  2. Step 2: Convert to fraction form
    205,658.82/308,534.35 = 72,540.18/x
  3. Step 3: Cross multiply
    205,658.82x = 308,534.35 × 72,540.18
  4. Step 4: Simplify right side
    205,658.82x = 22,381,137,285.18
  5. Step 5: Solve for x
    x = 22,381,137,285.18/205,658.82
  6. Step 6: Final answer
    x = 108,826.54

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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.