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Finding the Fourth Proportional to 20,068.40, 27,717.72 and 18,902

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Solution

The fourth proportional to 20,068.40, 27,717.72 and 18,902 is: 26,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.40 : 27,717.72 = 18,902 : x
  2. Step 2: Convert to fraction form
    20,068.40/27,717.72 = 18,902/x
  3. Step 3: Cross multiply
    20,068.40x = 27,717.72 × 18,902
  4. Step 4: Simplify right side
    20,068.40x = 523,920,343.44
  5. Step 5: Solve for x
    x = 523,920,343.44/20,068.40
  6. Step 6: Final answer
    x = 26,106.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.