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Finding the Fourth Proportional to 133,978.56, 200,967.84 and 78,544.32

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Solution

The fourth proportional to 133,978.56, 200,967.84 and 78,544.32 is: 117,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978.56 : 200,967.84 = 78,544.32 : x
  2. Step 2: Convert to fraction form
    133,978.56/200,967.84 = 78,544.32/x
  3. Step 3: Cross multiply
    133,978.56x = 200,967.84 × 78,544.32
  4. Step 4: Simplify right side
    133,978.56x = 15,784,882,334.67
  5. Step 5: Solve for x
    x = 15,784,882,334.67/133,978.56
  6. Step 6: Final answer
    x = 117,816.48

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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.