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Finding the Fourth Proportional to 68,122.30, 102,079.35 and 28,657.78

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Solution

The fourth proportional to 68,122.30, 102,079.35 and 28,657.78 is: 42,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,122.30 : 102,079.35 = 28,657.78 : x
  2. Step 2: Convert to fraction form
    68,122.30/102,079.35 = 28,657.78/x
  3. Step 3: Cross multiply
    68,122.30x = 102,079.35 × 28,657.78
  4. Step 4: Simplify right side
    68,122.30x = 2,925,367,554.84
  5. Step 5: Solve for x
    x = 2,925,367,554.84/68,122.30
  6. Step 6: Final answer
    x = 42,942.88

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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.