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Finding the Fourth Proportional to 68,555.79, 102,821.08 and 31,106.86

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Solution

The fourth proportional to 68,555.79, 102,821.08 and 31,106.86 is: 46,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,555.79 : 102,821.08 = 31,106.86 : x
  2. Step 2: Convert to fraction form
    68,555.79/102,821.08 = 31,106.86/x
  3. Step 3: Cross multiply
    68,555.79x = 102,821.08 × 31,106.86
  4. Step 4: Simplify right side
    68,555.79x = 3,198,440,940.61
  5. Step 5: Solve for x
    x = 3,198,440,940.61/68,555.79
  6. Step 6: Final answer
    x = 46,654.57

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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.