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Finding the Fourth Proportional to 135,378.86, 203,254.64 and 68,864

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Solution

The fourth proportional to 135,378.86, 203,254.64 and 68,864 is: 103,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,378.86 : 203,254.64 = 68,864 : x
  2. Step 2: Convert to fraction form
    135,378.86/203,254.64 = 68,864/x
  3. Step 3: Cross multiply
    135,378.86x = 203,254.64 × 68,864
  4. Step 4: Simplify right side
    135,378.86x = 13,996,927,528.96
  5. Step 5: Solve for x
    x = 13,996,927,528.96/135,378.86
  6. Step 6: Final answer
    x = 103,390.79

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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.