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Finding the Fourth Proportional to 75,978, 114,005.88 and 33,870.96

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Solution

The fourth proportional to 75,978, 114,005.88 and 33,870.96 is: 50,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 114,005.88 = 33,870.96 : x
  2. Step 2: Convert to fraction form
    75,978/114,005.88 = 33,870.96/x
  3. Step 3: Cross multiply
    75,978x = 114,005.88 × 33,870.96
  4. Step 4: Simplify right side
    75,978x = 3,861,488,601.24
  5. Step 5: Solve for x
    x = 3,861,488,601.24/75,978
  6. Step 6: Final answer
    x = 50,823.77

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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.