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Finding the Fourth Proportional to 135,377.86, 203,253.14 and 68,863

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Solution

The fourth proportional to 135,377.86, 203,253.14 and 68,863 is: 103,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,377.86 : 203,253.14 = 68,863 : x
  2. Step 2: Convert to fraction form
    135,377.86/203,253.14 = 68,863/x
  3. Step 3: Cross multiply
    135,377.86x = 203,253.14 × 68,863
  4. Step 4: Simplify right side
    135,377.86x = 13,996,620,979.82
  5. Step 5: Solve for x
    x = 13,996,620,979.82/135,377.86
  6. Step 6: Final answer
    x = 103,389.29

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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.