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Finding the Fourth Proportional to 205,562.92, 308,369.08 and 72,415.66

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Solution

The fourth proportional to 205,562.92, 308,369.08 and 72,415.66 is: 108,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,562.92 : 308,369.08 = 72,415.66 : x
  2. Step 2: Convert to fraction form
    205,562.92/308,369.08 = 72,415.66/x
  3. Step 3: Cross multiply
    205,562.92x = 308,369.08 × 72,415.66
  4. Step 4: Simplify right side
    205,562.92x = 22,330,750,451.79
  5. Step 5: Solve for x
    x = 22,330,750,451.79/205,562.92
  6. Step 6: Final answer
    x = 108,632.19

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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.