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Finding the Fourth Proportional to 68,290.86, 102,432.64 and 20,905.98

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Solution

The fourth proportional to 68,290.86, 102,432.64 and 20,905.98 is: 31,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,290.86 : 102,432.64 = 20,905.98 : x
  2. Step 2: Convert to fraction form
    68,290.86/102,432.64 = 20,905.98/x
  3. Step 3: Cross multiply
    68,290.86x = 102,432.64 × 20,905.98
  4. Step 4: Simplify right side
    68,290.86x = 2,141,454,723.19
  5. Step 5: Solve for x
    x = 2,141,454,723.19/68,290.86
  6. Step 6: Final answer
    x = 31,357.85

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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.