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Finding the Fourth Proportional to 235,836.30, 353,809.80 and 78,064.75

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Solution

The fourth proportional to 235,836.30, 353,809.80 and 78,064.75 is: 117,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,836.30 : 353,809.80 = 78,064.75 : x
  2. Step 2: Convert to fraction form
    235,836.30/353,809.80 = 78,064.75/x
  3. Step 3: Cross multiply
    235,836.30x = 353,809.80 × 78,064.75
  4. Step 4: Simplify right side
    235,836.30x = 27,620,073,584.55
  5. Step 5: Solve for x
    x = 27,620,073,584.55/235,836.30
  6. Step 6: Final answer
    x = 117,115.45

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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.